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Finding the Fourth Proportional to 3,414.62, 5,122.07 and 949.46

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Solution

The fourth proportional to 3,414.62, 5,122.07 and 949.46 is: 1,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.62 : 5,122.07 = 949.46 : x
  2. Step 2: Convert to fraction form
    3,414.62/5,122.07 = 949.46/x
  3. Step 3: Cross multiply
    3,414.62x = 5,122.07 × 949.46
  4. Step 4: Simplify right side
    3,414.62x = 4,863,170.22
  5. Step 5: Solve for x
    x = 4,863,170.22/3,414.62
  6. Step 6: Final answer
    x = 1,424.22

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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.