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The cost of sending 5 large packages is 5 * $3.60 = $<<5*3.6=18>>18.
The cost of sending 1 small package is $2.10.
So, it will cost Charmaine $18 + $2.10 = $<<18+2.1=20.10>>20.10 to send 1 small package and 5 large packages. Answer: \boxed{20.10}.