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Finding the Fourth Proportional to 3,481.47, 5,223.02 and 1,172.97

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Solution

The fourth proportional to 3,481.47, 5,223.02 and 1,172.97 is: 1,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.47 : 5,223.02 = 1,172.97 : x
  2. Step 2: Convert to fraction form
    3,481.47/5,223.02 = 1,172.97/x
  3. Step 3: Cross multiply
    3,481.47x = 5,223.02 × 1,172.97
  4. Step 4: Simplify right side
    3,481.47x = 6,126,445.77
  5. Step 5: Solve for x
    x = 6,126,445.77/3,481.47
  6. Step 6: Final answer
    x = 1,759.73

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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.