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Finding the Fourth Proportional to 5,892.78, 8,839.17 and 2,770.85

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Solution

The fourth proportional to 5,892.78, 8,839.17 and 2,770.85 is: 4,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.78 : 8,839.17 = 2,770.85 : x
  2. Step 2: Convert to fraction form
    5,892.78/8,839.17 = 2,770.85/x
  3. Step 3: Cross multiply
    5,892.78x = 8,839.17 × 2,770.85
  4. Step 4: Simplify right side
    5,892.78x = 24,491,970.00
  5. Step 5: Solve for x
    x = 24,491,970.00/5,892.78
  6. Step 6: Final answer
    x = 4,156.27

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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.