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Finding the Fourth Proportional to 3,997.44, 5,992.53 and 1,398.96

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Solution

The fourth proportional to 3,997.44, 5,992.53 and 1,398.96 is: 2,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.44 : 5,992.53 = 1,398.96 : x
  2. Step 2: Convert to fraction form
    3,997.44/5,992.53 = 1,398.96/x
  3. Step 3: Cross multiply
    3,997.44x = 5,992.53 × 1,398.96
  4. Step 4: Simplify right side
    3,997.44x = 8,383,309.77
  5. Step 5: Solve for x
    x = 8,383,309.77/3,997.44
  6. Step 6: Final answer
    x = 2,097.17

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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.