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Finding the Fourth Proportional to 3,654.66, 5,043.15 and 2,082.90

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Solution

The fourth proportional to 3,654.66, 5,043.15 and 2,082.90 is: 2,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.66 : 5,043.15 = 2,082.90 : x
  2. Step 2: Convert to fraction form
    3,654.66/5,043.15 = 2,082.90/x
  3. Step 3: Cross multiply
    3,654.66x = 5,043.15 × 2,082.90
  4. Step 4: Simplify right side
    3,654.66x = 10,504,377.14
  5. Step 5: Solve for x
    x = 10,504,377.14/3,654.66
  6. Step 6: Final answer
    x = 2,874.24

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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.