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Finding the Fourth Proportional to 3,414.25, 5,121.45 and 1,074.22

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Solution

The fourth proportional to 3,414.25, 5,121.45 and 1,074.22 is: 1,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.25 : 5,121.45 = 1,074.22 : x
  2. Step 2: Convert to fraction form
    3,414.25/5,121.45 = 1,074.22/x
  3. Step 3: Cross multiply
    3,414.25x = 5,121.45 × 1,074.22
  4. Step 4: Simplify right side
    3,414.25x = 5,501,564.02
  5. Step 5: Solve for x
    x = 5,501,564.02/3,414.25
  6. Step 6: Final answer
    x = 1,611.35

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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.