Try to use an opamp supplied of +/-5V.
For your sensor, you need a voltage devider in the ratio 5.62 : 1, and in this case use the opamp as a buffer.
For voltages in the range 2.2-3V and 4-4.5V connect this voltage through, say, 10kΩ resistor to (+) input of the opamp and use another 10kΩ resistor to "inject" -2.2 or -4V. This will shift voltage level from 2.2 to 0 (and from 4 to 0) and you will be able to connect your panel meter directly to the output of the opamp...
Good luck an regards,
IanP