Also, when you say that the switches are connected in a serial manner, do they have dual network interface cards (NICs) so that you are connecting them like so: PC1Interface1 connects to switch, PC1Interface2 connects to PC2Interface1, PC2Interface2 connects to PC3Interface?
If this is the case you need to do teaming of the interfaces so that they have a virtual IP, and the same IP acts as the default gateway of the next PC down the line. At the same time you need to have some routing on PCs so that they can do the routing/switching based upon the destination network.
I hope this helps.
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