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Finding the Fourth Proportional to 3,997, 5,515.92 and 2,341

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Solution

The fourth proportional to 3,997, 5,515.92 and 2,341 is: 3,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997 : 5,515.92 = 2,341 : x
  2. Step 2: Convert to fraction form
    3,997/5,515.92 = 2,341/x
  3. Step 3: Cross multiply
    3,997x = 5,515.92 × 2,341
  4. Step 4: Simplify right side
    3,997x = 12,912,768.72
  5. Step 5: Solve for x
    x = 12,912,768.72/3,997
  6. Step 6: Final answer
    x = 3,230.62

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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.