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Finding the Fourth Proportional to 3,997.46, 5,992.31 and 2,243.30

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Solution

The fourth proportional to 3,997.46, 5,992.31 and 2,243.30 is: 3,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.46 : 5,992.31 = 2,243.30 : x
  2. Step 2: Convert to fraction form
    3,997.46/5,992.31 = 2,243.30/x
  3. Step 3: Cross multiply
    3,997.46x = 5,992.31 × 2,243.30
  4. Step 4: Simplify right side
    3,997.46x = 13,442,549.02
  5. Step 5: Solve for x
    x = 13,442,549.02/3,997.46
  6. Step 6: Final answer
    x = 3,362.77

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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.