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Finding the Fourth Proportional to 5,126.57, 7,694.41 and 2,663.09

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Solution

The fourth proportional to 5,126.57, 7,694.41 and 2,663.09 is: 3,997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.57 : 7,694.41 = 2,663.09 : x
  2. Step 2: Convert to fraction form
    5,126.57/7,694.41 = 2,663.09/x
  3. Step 3: Cross multiply
    5,126.57x = 7,694.41 × 2,663.09
  4. Step 4: Simplify right side
    5,126.57x = 20,490,906.33
  5. Step 5: Solve for x
    x = 20,490,906.33/5,126.57
  6. Step 6: Final answer
    x = 3,997.00

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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.