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Finding the Fourth Proportional to 5,791.31, 7,989.06 and 3,663.26

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Solution

The fourth proportional to 5,791.31, 7,989.06 and 3,663.26 is: 5,053.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.31 : 7,989.06 = 3,663.26 : x
  2. Step 2: Convert to fraction form
    5,791.31/7,989.06 = 3,663.26/x
  3. Step 3: Cross multiply
    5,791.31x = 7,989.06 × 3,663.26
  4. Step 4: Simplify right side
    5,791.31x = 29,265,963.99
  5. Step 5: Solve for x
    x = 29,265,963.99/5,791.31
  6. Step 6: Final answer
    x = 5,053.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.