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Finding the Fourth Proportional to 3,997.32, 5,996.99 and 1,400.19

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Solution

The fourth proportional to 3,997.32, 5,996.99 and 1,400.19 is: 2,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.32 : 5,996.99 = 1,400.19 : x
  2. Step 2: Convert to fraction form
    3,997.32/5,996.99 = 1,400.19/x
  3. Step 3: Cross multiply
    3,997.32x = 5,996.99 × 1,400.19
  4. Step 4: Simplify right side
    3,997.32x = 8,396,888.44
  5. Step 5: Solve for x
    x = 8,396,888.44/3,997.32
  6. Step 6: Final answer
    x = 2,100.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.