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Finding the Fourth Proportional to 4,207.57, 6,304.17 and 2,972.60

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Solution

The fourth proportional to 4,207.57, 6,304.17 and 2,972.60 is: 4,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.57 : 6,304.17 = 2,972.60 : x
  2. Step 2: Convert to fraction form
    4,207.57/6,304.17 = 2,972.60/x
  3. Step 3: Cross multiply
    4,207.57x = 6,304.17 × 2,972.60
  4. Step 4: Simplify right side
    4,207.57x = 18,739,775.74
  5. Step 5: Solve for x
    x = 18,739,775.74/4,207.57
  6. Step 6: Final answer
    x = 4,453.82

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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.