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Finding the Fourth Proportional to 3,775, 5,663.31 and 1,142.44

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Solution

The fourth proportional to 3,775, 5,663.31 and 1,142.44 is: 1,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775 : 5,663.31 = 1,142.44 : x
  2. Step 2: Convert to fraction form
    3,775/5,663.31 = 1,142.44/x
  3. Step 3: Cross multiply
    3,775x = 5,663.31 × 1,142.44
  4. Step 4: Simplify right side
    3,775x = 6,469,991.88
  5. Step 5: Solve for x
    x = 6,469,991.88/3,775
  6. Step 6: Final answer
    x = 1,713.91

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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.