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Finding the Fourth Proportional to 3,962, 5,469 and 2,306

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Solution

The fourth proportional to 3,962, 5,469 and 2,306 is: 3,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962 : 5,469 = 2,306 : x
  2. Step 2: Convert to fraction form
    3,962/5,469 = 2,306/x
  3. Step 3: Cross multiply
    3,962x = 5,469 × 2,306
  4. Step 4: Simplify right side
    3,962x = 12,611,514
  5. Step 5: Solve for x
    x = 12,611,514/3,962
  6. Step 6: Final answer
    x = 3,183.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.