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Finding the Fourth Proportional to 3,647.86, 5,471.27 and 2,082.78

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Solution

The fourth proportional to 3,647.86, 5,471.27 and 2,082.78 is: 3,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.86 : 5,471.27 = 2,082.78 : x
  2. Step 2: Convert to fraction form
    3,647.86/5,471.27 = 2,082.78/x
  3. Step 3: Cross multiply
    3,647.86x = 5,471.27 × 2,082.78
  4. Step 4: Simplify right side
    3,647.86x = 11,395,451.73
  5. Step 5: Solve for x
    x = 11,395,451.73/3,647.86
  6. Step 6: Final answer
    x = 3,123.87

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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.