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Finding the Fourth Proportional to 3,654.96, 5,042.76 and 2,082.96

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Solution

The fourth proportional to 3,654.96, 5,042.76 and 2,082.96 is: 2,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.96 : 5,042.76 = 2,082.96 : x
  2. Step 2: Convert to fraction form
    3,654.96/5,042.76 = 2,082.96/x
  3. Step 3: Cross multiply
    3,654.96x = 5,042.76 × 2,082.96
  4. Step 4: Simplify right side
    3,654.96x = 10,503,867.37
  5. Step 5: Solve for x
    x = 10,503,867.37/3,654.96
  6. Step 6: Final answer
    x = 2,873.87

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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.