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Finding the Fourth Proportional to 5,209.52, 7,831.21 and 4,180.79

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Solution

The fourth proportional to 5,209.52, 7,831.21 and 4,180.79 is: 6,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.52 : 7,831.21 = 4,180.79 : x
  2. Step 2: Convert to fraction form
    5,209.52/7,831.21 = 4,180.79/x
  3. Step 3: Cross multiply
    5,209.52x = 7,831.21 × 4,180.79
  4. Step 4: Simplify right side
    5,209.52x = 32,740,667.30
  5. Step 5: Solve for x
    x = 32,740,667.30/5,209.52
  6. Step 6: Final answer
    x = 6,284.78

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