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Finding the Fourth Proportional to 5,728.78, 8,591.46 and 1,832.14

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Solution

The fourth proportional to 5,728.78, 8,591.46 and 1,832.14 is: 2,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.78 : 8,591.46 = 1,832.14 : x
  2. Step 2: Convert to fraction form
    5,728.78/8,591.46 = 1,832.14/x
  3. Step 3: Cross multiply
    5,728.78x = 8,591.46 × 1,832.14
  4. Step 4: Simplify right side
    5,728.78x = 15,740,757.52
  5. Step 5: Solve for x
    x = 15,740,757.52/5,728.78
  6. Step 6: Final answer
    x = 2,747.66

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