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Finding the Fourth Proportional to 3,997.60, 5,996.40 and 2,537.80

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Solution

The fourth proportional to 3,997.60, 5,996.40 and 2,537.80 is: 3,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.60 : 5,996.40 = 2,537.80 : x
  2. Step 2: Convert to fraction form
    3,997.60/5,996.40 = 2,537.80/x
  3. Step 3: Cross multiply
    3,997.60x = 5,996.40 × 2,537.80
  4. Step 4: Simplify right side
    3,997.60x = 15,217,663.92
  5. Step 5: Solve for x
    x = 15,217,663.92/3,997.60
  6. Step 6: Final answer
    x = 3,806.70

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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.