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Finding the Fourth Proportional to 3,891.92, 5,839.58 and 2,042.60

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Solution

The fourth proportional to 3,891.92, 5,839.58 and 2,042.60 is: 3,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.92 : 5,839.58 = 2,042.60 : x
  2. Step 2: Convert to fraction form
    3,891.92/5,839.58 = 2,042.60/x
  3. Step 3: Cross multiply
    3,891.92x = 5,839.58 × 2,042.60
  4. Step 4: Simplify right side
    3,891.92x = 11,927,886.70
  5. Step 5: Solve for x
    x = 11,927,886.70/3,891.92
  6. Step 6: Final answer
    x = 3,064.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.