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Finding the Fourth Proportional to 3,702.72, 5,542.68 and 3,177.84

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Solution

The fourth proportional to 3,702.72, 5,542.68 and 3,177.84 is: 4,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.72 : 5,542.68 = 3,177.84 : x
  2. Step 2: Convert to fraction form
    3,702.72/5,542.68 = 3,177.84/x
  3. Step 3: Cross multiply
    3,702.72x = 5,542.68 × 3,177.84
  4. Step 4: Simplify right side
    3,702.72x = 17,613,750.21
  5. Step 5: Solve for x
    x = 17,613,750.21/3,702.72
  6. Step 6: Final answer
    x = 4,756.98

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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.