Even if you put 4GB of RAM in a 32bit OS, it will not be recognised. The maximum you can go I believe is close to 3.2GB of RAM or something similar, but even that small improvement might be good. You can just install 4GBs, and take advantage of that small improvement (it differs among PCs).
Also yes, the 4GB patch might only be installed (effectively) with 64bit windows, no matter how much RAM you have with a 32bit OS.
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