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Finding the Fourth Proportional to 5,170.20, 7,747.02 and 5,033.52

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Solution

The fourth proportional to 5,170.20, 7,747.02 and 5,033.52 is: 7,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.20 : 7,747.02 = 5,033.52 : x
  2. Step 2: Convert to fraction form
    5,170.20/7,747.02 = 5,033.52/x
  3. Step 3: Cross multiply
    5,170.20x = 7,747.02 × 5,033.52
  4. Step 4: Simplify right side
    5,170.20x = 38,994,780.11
  5. Step 5: Solve for x
    x = 38,994,780.11/5,170.20
  6. Step 6: Final answer
    x = 7,542.22

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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.