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Finding the Fourth Proportional to 3,729.26, 5,562.24 and 3,663.66

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Solution

The fourth proportional to 3,729.26, 5,562.24 and 3,663.66 is: 5,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.26 : 5,562.24 = 3,663.66 : x
  2. Step 2: Convert to fraction form
    3,729.26/5,562.24 = 3,663.66/x
  3. Step 3: Cross multiply
    3,729.26x = 5,562.24 × 3,663.66
  4. Step 4: Simplify right side
    3,729.26x = 20,378,156.20
  5. Step 5: Solve for x
    x = 20,378,156.20/3,729.26
  6. Step 6: Final answer
    x = 5,464.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.