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Finding the Fourth Proportional to 4,374, 6,034.32 and 2,882.61

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Solution

The fourth proportional to 4,374, 6,034.32 and 2,882.61 is: 3,976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374 : 6,034.32 = 2,882.61 : x
  2. Step 2: Convert to fraction form
    4,374/6,034.32 = 2,882.61/x
  3. Step 3: Cross multiply
    4,374x = 6,034.32 × 2,882.61
  4. Step 4: Simplify right side
    4,374x = 17,394,591.18
  5. Step 5: Solve for x
    x = 17,394,591.18/4,374
  6. Step 6: Final answer
    x = 3,976.82

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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.