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Finding the Fourth Proportional to 3,414.57, 5,121.90 and 1,074.48

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Solution

The fourth proportional to 3,414.57, 5,121.90 and 1,074.48 is: 1,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.57 : 5,121.90 = 1,074.48 : x
  2. Step 2: Convert to fraction form
    3,414.57/5,121.90 = 1,074.48/x
  3. Step 3: Cross multiply
    3,414.57x = 5,121.90 × 1,074.48
  4. Step 4: Simplify right side
    3,414.57x = 5,503,379.11
  5. Step 5: Solve for x
    x = 5,503,379.11/3,414.57
  6. Step 6: Final answer
    x = 1,611.73

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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.