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Finding the Fourth Proportional to 3,129.62, 4,686.33 and 2,478.38

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Solution

The fourth proportional to 3,129.62, 4,686.33 and 2,478.38 is: 3,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.62 : 4,686.33 = 2,478.38 : x
  2. Step 2: Convert to fraction form
    3,129.62/4,686.33 = 2,478.38/x
  3. Step 3: Cross multiply
    3,129.62x = 4,686.33 × 2,478.38
  4. Step 4: Simplify right side
    3,129.62x = 11,614,506.55
  5. Step 5: Solve for x
    x = 11,614,506.55/3,129.62
  6. Step 6: Final answer
    x = 3,711.16

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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.