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Finding the Fourth Proportional to 3,661, 5,052.26 and 2,005

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Solution

The fourth proportional to 3,661, 5,052.26 and 2,005 is: 2,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661 : 5,052.26 = 2,005 : x
  2. Step 2: Convert to fraction form
    3,661/5,052.26 = 2,005/x
  3. Step 3: Cross multiply
    3,661x = 5,052.26 × 2,005
  4. Step 4: Simplify right side
    3,661x = 10,129,781.30
  5. Step 5: Solve for x
    x = 10,129,781.30/3,661
  6. Step 6: Final answer
    x = 2,766.94

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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.