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Finding the Fourth Proportional to 3,997.50, 5,998.41 and 1,945.50

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Solution

The fourth proportional to 3,997.50, 5,998.41 and 1,945.50 is: 2,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.50 : 5,998.41 = 1,945.50 : x
  2. Step 2: Convert to fraction form
    3,997.50/5,998.41 = 1,945.50/x
  3. Step 3: Cross multiply
    3,997.50x = 5,998.41 × 1,945.50
  4. Step 4: Simplify right side
    3,997.50x = 11,669,906.66
  5. Step 5: Solve for x
    x = 11,669,906.66/3,997.50
  6. Step 6: Final answer
    x = 2,919.30

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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.