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Finding the Fourth Proportional to 3,727.65, 5,591.42 and 954.30

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Solution

The fourth proportional to 3,727.65, 5,591.42 and 954.30 is: 1,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.65 : 5,591.42 = 954.30 : x
  2. Step 2: Convert to fraction form
    3,727.65/5,591.42 = 954.30/x
  3. Step 3: Cross multiply
    3,727.65x = 5,591.42 × 954.30
  4. Step 4: Simplify right side
    3,727.65x = 5,335,889.72
  5. Step 5: Solve for x
    x = 5,335,889.72/3,727.65
  6. Step 6: Final answer
    x = 1,431.43

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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.