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Finding the Fourth Proportional to 3,728.80, 5,591.07 and 1,534.92

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Solution

The fourth proportional to 3,728.80, 5,591.07 and 1,534.92 is: 2,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.80 : 5,591.07 = 1,534.92 : x
  2. Step 2: Convert to fraction form
    3,728.80/5,591.07 = 1,534.92/x
  3. Step 3: Cross multiply
    3,728.80x = 5,591.07 × 1,534.92
  4. Step 4: Simplify right side
    3,728.80x = 8,581,845.16
  5. Step 5: Solve for x
    x = 8,581,845.16/3,728.80
  6. Step 6: Final answer
    x = 2,301.50

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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.