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Finding the Fourth Proportional to 3,542.62, 4,889.56 and 2,839.14

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Solution

The fourth proportional to 3,542.62, 4,889.56 and 2,839.14 is: 3,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.62 : 4,889.56 = 2,839.14 : x
  2. Step 2: Convert to fraction form
    3,542.62/4,889.56 = 2,839.14/x
  3. Step 3: Cross multiply
    3,542.62x = 4,889.56 × 2,839.14
  4. Step 4: Simplify right side
    3,542.62x = 13,882,145.38
  5. Step 5: Solve for x
    x = 13,882,145.38/3,542.62
  6. Step 6: Final answer
    x = 3,918.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.