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Finding the Fourth Proportional to 5,200.38, 7,792.65 and 2,423.79

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Solution

The fourth proportional to 5,200.38, 7,792.65 and 2,423.79 is: 3,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.38 : 7,792.65 = 2,423.79 : x
  2. Step 2: Convert to fraction form
    5,200.38/7,792.65 = 2,423.79/x
  3. Step 3: Cross multiply
    5,200.38x = 7,792.65 × 2,423.79
  4. Step 4: Simplify right side
    5,200.38x = 18,887,747.14
  5. Step 5: Solve for x
    x = 18,887,747.14/5,200.38
  6. Step 6: Final answer
    x = 3,631.99

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