Check if the system has all the components updated to the target level based on the stack file. Also if the system component version and SP level matches the other systems (already patched) then ask the functional team to validate. If they confirm the system is fine then you may use BR*Tools to move the contents of the old tablespace (PSASR3740) to the new one (PSASR3740X).
If I were you I would do a tablespace reorg from PSASR3740X to PSASR3740 instead of the other way around.