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Finding the Fourth Proportional to 3,831.24, 5,739.30 and 3,005.40

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Solution

The fourth proportional to 3,831.24, 5,739.30 and 3,005.40 is: 4,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.24 : 5,739.30 = 3,005.40 : x
  2. Step 2: Convert to fraction form
    3,831.24/5,739.30 = 3,005.40/x
  3. Step 3: Cross multiply
    3,831.24x = 5,739.30 × 3,005.40
  4. Step 4: Simplify right side
    3,831.24x = 17,248,892.22
  5. Step 5: Solve for x
    x = 17,248,892.22/3,831.24
  6. Step 6: Final answer
    x = 4,502.17

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