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Finding the Fourth Proportional to 3,414.68, 5,122.82 and 1,074.82

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Solution

The fourth proportional to 3,414.68, 5,122.82 and 1,074.82 is: 1,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.68 : 5,122.82 = 1,074.82 : x
  2. Step 2: Convert to fraction form
    3,414.68/5,122.82 = 1,074.82/x
  3. Step 3: Cross multiply
    3,414.68x = 5,122.82 × 1,074.82
  4. Step 4: Simplify right side
    3,414.68x = 5,506,105.85
  5. Step 5: Solve for x
    x = 5,506,105.85/3,414.68
  6. Step 6: Final answer
    x = 1,612.48

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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.