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The cross section of the process $e^+e^- \to \pi^+\pi^-\pi^0\eta$ has beenmeasured using a data sample of 21.8 pb$^{-1}$ collected with the CMD-3detector at the VEPP-2000 $e^+e^-$ collider. 2769$\pm$95 signal events havebeen selected in the center-of-mass energy range 1394--2005 MeV. The productiondynamics is dominated by the $\omega(782)\eta$ and $\phi(1020)\eta$intermediate states in the lower energy range, and by the $a_0(980)\rho(770)$intermediate state at higher energies.

Study of the process $e^+e^-\to \pi^+\pi^-\pi^0\eta$ in the c.m. energy range 1394--2005 MeV with the CMD-3 detector