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Finding the Fourth Proportional to 5,882.66, 8,819.69 and 2,761.05

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Solution

The fourth proportional to 5,882.66, 8,819.69 and 2,761.05 is: 4,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.66 : 8,819.69 = 2,761.05 : x
  2. Step 2: Convert to fraction form
    5,882.66/8,819.69 = 2,761.05/x
  3. Step 3: Cross multiply
    5,882.66x = 8,819.69 × 2,761.05
  4. Step 4: Simplify right side
    5,882.66x = 24,351,624.34
  5. Step 5: Solve for x
    x = 24,351,624.34/5,882.66
  6. Step 6: Final answer
    x = 4,139.56

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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.