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Finding the Fourth Proportional to 5,922.71, 8,882.52 and 1,761.61

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Solution

The fourth proportional to 5,922.71, 8,882.52 and 1,761.61 is: 2,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.71 : 8,882.52 = 1,761.61 : x
  2. Step 2: Convert to fraction form
    5,922.71/8,882.52 = 1,761.61/x
  3. Step 3: Cross multiply
    5,922.71x = 8,882.52 × 1,761.61
  4. Step 4: Simplify right side
    5,922.71x = 15,647,491.64
  5. Step 5: Solve for x
    x = 15,647,491.64/5,922.71
  6. Step 6: Final answer
    x = 2,641.95

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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.