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Finding the Fourth Proportional to 3,942.75, 5,914.13 and 3,702.18

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Solution

The fourth proportional to 3,942.75, 5,914.13 and 3,702.18 is: 5,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.75 : 5,914.13 = 3,702.18 : x
  2. Step 2: Convert to fraction form
    3,942.75/5,914.13 = 3,702.18/x
  3. Step 3: Cross multiply
    3,942.75x = 5,914.13 × 3,702.18
  4. Step 4: Simplify right side
    3,942.75x = 21,895,166.04
  5. Step 5: Solve for x
    x = 21,895,166.04/3,942.75
  6. Step 6: Final answer
    x = 5,553.27

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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.