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Finding the Fourth Proportional to 3,039.52, 4,559.28 and 731.02

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Solution

The fourth proportional to 3,039.52, 4,559.28 and 731.02 is: 1,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.52 : 4,559.28 = 731.02 : x
  2. Step 2: Convert to fraction form
    3,039.52/4,559.28 = 731.02/x
  3. Step 3: Cross multiply
    3,039.52x = 4,559.28 × 731.02
  4. Step 4: Simplify right side
    3,039.52x = 3,332,910.73
  5. Step 5: Solve for x
    x = 3,332,910.73/3,039.52
  6. Step 6: Final answer
    x = 1,096.53

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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.