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Finding the Fourth Proportional to 3,997.80, 5,996.70 and 3,171.60

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Solution

The fourth proportional to 3,997.80, 5,996.70 and 3,171.60 is: 4,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.80 : 5,996.70 = 3,171.60 : x
  2. Step 2: Convert to fraction form
    3,997.80/5,996.70 = 3,171.60/x
  3. Step 3: Cross multiply
    3,997.80x = 5,996.70 × 3,171.60
  4. Step 4: Simplify right side
    3,997.80x = 19,019,133.72
  5. Step 5: Solve for x
    x = 19,019,133.72/3,997.80
  6. Step 6: Final answer
    x = 4,757.40

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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.