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Finding the Fourth Proportional to 3,715.52, 5,531.86 and 3,663.84

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Solution

The fourth proportional to 3,715.52, 5,531.86 and 3,663.84 is: 5,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.52 : 5,531.86 = 3,663.84 : x
  2. Step 2: Convert to fraction form
    3,715.52/5,531.86 = 3,663.84/x
  3. Step 3: Cross multiply
    3,715.52x = 5,531.86 × 3,663.84
  4. Step 4: Simplify right side
    3,715.52x = 20,267,849.94
  5. Step 5: Solve for x
    x = 20,267,849.94/3,715.52
  6. Step 6: Final answer
    x = 5,454.92

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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.