TimKim Co$.$ has $2,000$ shares of stock of $4\%,$$$100$ par preferred stock, and $80,000$ stock of $$1$ par common stock outstanding on December $31,20$X$1.$ The preferred stock is both cumylative and participating. Dividends in arrears on the preferred stock totaled $$2,000$ on December $31,201.$ If TimKim pays cash aividends of $$15,000$ in $202,$ what is the total common stock dividend assuming that no additional preferred or common stock is issued during the period?

$$5,000$

$$3,200$

$$4,640$

$$4,000$