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Finding the Fourth Proportional to 3,414.61, 5,121.91 and 1,074.82

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Solution

The fourth proportional to 3,414.61, 5,121.91 and 1,074.82 is: 1,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.61 : 5,121.91 = 1,074.82 : x
  2. Step 2: Convert to fraction form
    3,414.61/5,121.91 = 1,074.82/x
  3. Step 3: Cross multiply
    3,414.61x = 5,121.91 × 1,074.82
  4. Step 4: Simplify right side
    3,414.61x = 5,505,131.31
  5. Step 5: Solve for x
    x = 5,505,131.31/3,414.61
  6. Step 6: Final answer
    x = 1,612.23

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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.