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Finding the Fourth Proportional to 3,728.32, 5,591.52 and 2,164.96

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Solution

The fourth proportional to 3,728.32, 5,591.52 and 2,164.96 is: 3,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.32 : 5,591.52 = 2,164.96 : x
  2. Step 2: Convert to fraction form
    3,728.32/5,591.52 = 2,164.96/x
  3. Step 3: Cross multiply
    3,728.32x = 5,591.52 × 2,164.96
  4. Step 4: Simplify right side
    3,728.32x = 12,105,417.14
  5. Step 5: Solve for x
    x = 12,105,417.14/3,728.32
  6. Step 6: Final answer
    x = 3,246.88

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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.