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Finding the Fourth Proportional to 3,672.52, 5,506.80 and 1,332.16

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Solution

The fourth proportional to 3,672.52, 5,506.80 and 1,332.16 is: 1,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.52 : 5,506.80 = 1,332.16 : x
  2. Step 2: Convert to fraction form
    3,672.52/5,506.80 = 1,332.16/x
  3. Step 3: Cross multiply
    3,672.52x = 5,506.80 × 1,332.16
  4. Step 4: Simplify right side
    3,672.52x = 7,335,938.69
  5. Step 5: Solve for x
    x = 7,335,938.69/3,672.52
  6. Step 6: Final answer
    x = 1,997.52

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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.