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Finding the Fourth Proportional to 3,654, 5,042.88 and 2,082.11

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Solution

The fourth proportional to 3,654, 5,042.88 and 2,082.11 is: 2,873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654 : 5,042.88 = 2,082.11 : x
  2. Step 2: Convert to fraction form
    3,654/5,042.88 = 2,082.11/x
  3. Step 3: Cross multiply
    3,654x = 5,042.88 × 2,082.11
  4. Step 4: Simplify right side
    3,654x = 10,499,805.66
  5. Step 5: Solve for x
    x = 10,499,805.66/3,654
  6. Step 6: Final answer
    x = 2,873.51

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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.