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Finding the Fourth Proportional to 3,654.84, 5,042.43 and 2,082.54

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Solution

The fourth proportional to 3,654.84, 5,042.43 and 2,082.54 is: 2,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.84 : 5,042.43 = 2,082.54 : x
  2. Step 2: Convert to fraction form
    3,654.84/5,042.43 = 2,082.54/x
  3. Step 3: Cross multiply
    3,654.84x = 5,042.43 × 2,082.54
  4. Step 4: Simplify right side
    3,654.84x = 10,501,062.17
  5. Step 5: Solve for x
    x = 10,501,062.17/3,654.84
  6. Step 6: Final answer
    x = 2,873.19

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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.