Another thing to keep in mind is that the typical process for producing projection prints from the movie camera negative loses a great deal of resolution from what's captured on the original negative. In other words, no one ever sees anything anywhere near 5300x4000 resolution in a movie theater.
Here's a site with some actual scans from original 35mm camera negatives ("OCN") and the interpostive ("IP") which is the first step in going to a print for a theater:
http://www.cintel.co.uk/technology/4K-resolution-scanning.htm As I understand it typical theater prints involve at least one more resolution-losing step in going from the interpositive to the final print.
Note in particular this image:
http://www.cintel.co.uk/technology/images/composite_street signs.jpg. By comparing the 2K (meaning 2048x1536) scan of the original negative ("2K Neg") with the 2K scan of the interpositive ("2K IP"), you can see that 2048x1536 is quite adequate to capture all the detail that remains after going from the negative to the interpositive. This is a full 4:3 frame; after matting to 1.85:1 all the detail that remains is more than captured by 2048x1107 - interestingly, about the same as the resolution of HDTV! And that's just the interpositive; further loss of resolution is entailed in striking the actual projection print.
In summary, assuming this site is representative and that I'm interpreting all this correctly: you're unlikely to see anything greater than HDTV resolution in a movie theater, or even in a positive struck directly from the camera negative.