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Finding the Fourth Proportional to 5,132.57, 7,681.03 and 3,157.31

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Solution

The fourth proportional to 5,132.57, 7,681.03 and 3,157.31 is: 4,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.57 : 7,681.03 = 3,157.31 : x
  2. Step 2: Convert to fraction form
    5,132.57/7,681.03 = 3,157.31/x
  3. Step 3: Cross multiply
    5,132.57x = 7,681.03 × 3,157.31
  4. Step 4: Simplify right side
    5,132.57x = 24,251,404.14
  5. Step 5: Solve for x
    x = 24,251,404.14/5,132.57
  6. Step 6: Final answer
    x = 4,725.01

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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.