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Finding the Fourth Proportional to 3,474.92, 5,213.22 and 1,135.04

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Solution

The fourth proportional to 3,474.92, 5,213.22 and 1,135.04 is: 1,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.92 : 5,213.22 = 1,135.04 : x
  2. Step 2: Convert to fraction form
    3,474.92/5,213.22 = 1,135.04/x
  3. Step 3: Cross multiply
    3,474.92x = 5,213.22 × 1,135.04
  4. Step 4: Simplify right side
    3,474.92x = 5,917,187.16
  5. Step 5: Solve for x
    x = 5,917,187.16/3,474.92
  6. Step 6: Final answer
    x = 1,702.83

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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.