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Finding the Fourth Proportional to 3,654.39, 5,043.42 and 2,082.72

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Solution

The fourth proportional to 3,654.39, 5,043.42 and 2,082.72 is: 2,874.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.39 : 5,043.42 = 2,082.72 : x
  2. Step 2: Convert to fraction form
    3,654.39/5,043.42 = 2,082.72/x
  3. Step 3: Cross multiply
    3,654.39x = 5,043.42 × 2,082.72
  4. Step 4: Simplify right side
    3,654.39x = 10,504,031.70
  5. Step 5: Solve for x
    x = 10,504,031.70/3,654.39
  6. Step 6: Final answer
    x = 2,874.36

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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.