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Finding the Fourth Proportional to 5,581.98, 8,372.97 and 4,177.86

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Solution

The fourth proportional to 5,581.98, 8,372.97 and 4,177.86 is: 6,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.98 : 8,372.97 = 4,177.86 : x
  2. Step 2: Convert to fraction form
    5,581.98/8,372.97 = 4,177.86/x
  3. Step 3: Cross multiply
    5,581.98x = 8,372.97 × 4,177.86
  4. Step 4: Simplify right side
    5,581.98x = 34,981,096.44
  5. Step 5: Solve for x
    x = 34,981,096.44/5,581.98
  6. Step 6: Final answer
    x = 6,266.79

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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.