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Finding the Fourth Proportional to 3,654.69, 5,042.16 and 2,081.87

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Solution

The fourth proportional to 3,654.69, 5,042.16 and 2,081.87 is: 2,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.69 : 5,042.16 = 2,081.87 : x
  2. Step 2: Convert to fraction form
    3,654.69/5,042.16 = 2,081.87/x
  3. Step 3: Cross multiply
    3,654.69x = 5,042.16 × 2,081.87
  4. Step 4: Simplify right side
    3,654.69x = 10,497,134.24
  5. Step 5: Solve for x
    x = 10,497,134.24/3,654.69
  6. Step 6: Final answer
    x = 2,872.24

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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.