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Finding the Fourth Proportional to 3,414.78, 5,122.22 and 1,074.74

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Solution

The fourth proportional to 3,414.78, 5,122.22 and 1,074.74 is: 1,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.78 : 5,122.22 = 1,074.74 : x
  2. Step 2: Convert to fraction form
    3,414.78/5,122.22 = 1,074.74/x
  3. Step 3: Cross multiply
    3,414.78x = 5,122.22 × 1,074.74
  4. Step 4: Simplify right side
    3,414.78x = 5,505,023.74
  5. Step 5: Solve for x
    x = 5,505,023.74/3,414.78
  6. Step 6: Final answer
    x = 1,612.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.