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Finding the Fourth Proportional to 3,687.62, 5,082.97 and 2,889.58

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Solution

The fourth proportional to 3,687.62, 5,082.97 and 2,889.58 is: 3,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.62 : 5,082.97 = 2,889.58 : x
  2. Step 2: Convert to fraction form
    3,687.62/5,082.97 = 2,889.58/x
  3. Step 3: Cross multiply
    3,687.62x = 5,082.97 × 2,889.58
  4. Step 4: Simplify right side
    3,687.62x = 14,687,648.45
  5. Step 5: Solve for x
    x = 14,687,648.45/3,687.62
  6. Step 6: Final answer
    x = 3,982.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.