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Finding the Fourth Proportional to 4,003.50, 5,997.21 and 1,996.15

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Solution

The fourth proportional to 4,003.50, 5,997.21 and 1,996.15 is: 2,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.50 : 5,997.21 = 1,996.15 : x
  2. Step 2: Convert to fraction form
    4,003.50/5,997.21 = 1,996.15/x
  3. Step 3: Cross multiply
    4,003.50x = 5,997.21 × 1,996.15
  4. Step 4: Simplify right side
    4,003.50x = 11,971,330.74
  5. Step 5: Solve for x
    x = 11,971,330.74/4,003.50
  6. Step 6: Final answer
    x = 2,990.22

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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.