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Finding the Fourth Proportional to 3,727.52, 5,591.22 and 954.13

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Solution

The fourth proportional to 3,727.52, 5,591.22 and 954.13 is: 1,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.52 : 5,591.22 = 954.13 : x
  2. Step 2: Convert to fraction form
    3,727.52/5,591.22 = 954.13/x
  3. Step 3: Cross multiply
    3,727.52x = 5,591.22 × 954.13
  4. Step 4: Simplify right side
    3,727.52x = 5,334,750.74
  5. Step 5: Solve for x
    x = 5,334,750.74/3,727.52
  6. Step 6: Final answer
    x = 1,431.18

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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.