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Finding the Fourth Proportional to 5,092.56, 7,614.96 and 3,627.24

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Solution

The fourth proportional to 5,092.56, 7,614.96 and 3,627.24 is: 5,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.56 : 7,614.96 = 3,627.24 : x
  2. Step 2: Convert to fraction form
    5,092.56/7,614.96 = 3,627.24/x
  3. Step 3: Cross multiply
    5,092.56x = 7,614.96 × 3,627.24
  4. Step 4: Simplify right side
    5,092.56x = 27,621,287.51
  5. Step 5: Solve for x
    x = 27,621,287.51/5,092.56
  6. Step 6: Final answer
    x = 5,423.85

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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.