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Finding the Fourth Proportional to 5,892.52, 8,838.42 and 2,429.68

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Solution

The fourth proportional to 5,892.52, 8,838.42 and 2,429.68 is: 3,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.52 : 8,838.42 = 2,429.68 : x
  2. Step 2: Convert to fraction form
    5,892.52/8,838.42 = 2,429.68/x
  3. Step 3: Cross multiply
    5,892.52x = 8,838.42 × 2,429.68
  4. Step 4: Simplify right side
    5,892.52x = 21,474,532.31
  5. Step 5: Solve for x
    x = 21,474,532.31/5,892.52
  6. Step 6: Final answer
    x = 3,644.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.