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Finding the Fourth Proportional to 3,948.75, 5,892.50 and 3,423.87

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Solution

The fourth proportional to 3,948.75, 5,892.50 and 3,423.87 is: 5,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.75 : 5,892.50 = 3,423.87 : x
  2. Step 2: Convert to fraction form
    3,948.75/5,892.50 = 3,423.87/x
  3. Step 3: Cross multiply
    3,948.75x = 5,892.50 × 3,423.87
  4. Step 4: Simplify right side
    3,948.75x = 20,175,143.28
  5. Step 5: Solve for x
    x = 20,175,143.28/3,948.75
  6. Step 6: Final answer
    x = 5,109.25

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