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Finding the Fourth Proportional to 4,167.02, 6,248.10 and 2,432

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Solution

The fourth proportional to 4,167.02, 6,248.10 and 2,432 is: 3,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.02 : 6,248.10 = 2,432 : x
  2. Step 2: Convert to fraction form
    4,167.02/6,248.10 = 2,432/x
  3. Step 3: Cross multiply
    4,167.02x = 6,248.10 × 2,432
  4. Step 4: Simplify right side
    4,167.02x = 15,195,379.20
  5. Step 5: Solve for x
    x = 15,195,379.20/4,167.02
  6. Step 6: Final answer
    x = 3,646.58

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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.