Arden, an employee of Sweet Shoppe Industries, receives a bonus of $$3,200$ for stellar work this period. Arden's boss wants the net check to be $$3,200.$ Arden contributes $3$ percent to a pre$-$tax $401($k$)$ deduction.

Required:

Calculate the gross pay amount that would result in $$3,200$ paid to Arden. $($The tax rate on bonuses is $22$ percent. Social Security $(6\mathrm{.}2\%)$ and Medicare taxes $(1\mathrm{.}45\%)$ must be added to this rate.$)$