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Finding the Fourth Proportional to 5,728.80, 8,591.44 and 1,832.16

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Solution

The fourth proportional to 5,728.80, 8,591.44 and 1,832.16 is: 2,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.80 : 8,591.44 = 1,832.16 : x
  2. Step 2: Convert to fraction form
    5,728.80/8,591.44 = 1,832.16/x
  3. Step 3: Cross multiply
    5,728.80x = 8,591.44 × 1,832.16
  4. Step 4: Simplify right side
    5,728.80x = 15,740,892.71
  5. Step 5: Solve for x
    x = 15,740,892.71/5,728.80
  6. Step 6: Final answer
    x = 2,747.68

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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.