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Finding the Fourth Proportional to 3,414.16, 5,121.22 and 1,467.73

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Solution

The fourth proportional to 3,414.16, 5,121.22 and 1,467.73 is: 2,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.16 : 5,121.22 = 1,467.73 : x
  2. Step 2: Convert to fraction form
    3,414.16/5,121.22 = 1,467.73/x
  3. Step 3: Cross multiply
    3,414.16x = 5,121.22 × 1,467.73
  4. Step 4: Simplify right side
    3,414.16x = 7,516,568.23
  5. Step 5: Solve for x
    x = 7,516,568.23/3,414.16
  6. Step 6: Final answer
    x = 2,201.59

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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.