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Finding the Fourth Proportional to 6,589.49, 9,092.70 and 3,936.38

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Solution

The fourth proportional to 6,589.49, 9,092.70 and 3,936.38 is: 5,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.49 : 9,092.70 = 3,936.38 : x
  2. Step 2: Convert to fraction form
    6,589.49/9,092.70 = 3,936.38/x
  3. Step 3: Cross multiply
    6,589.49x = 9,092.70 × 3,936.38
  4. Step 4: Simplify right side
    6,589.49x = 35,792,276.96
  5. Step 5: Solve for x
    x = 35,792,276.96/6,589.49
  6. Step 6: Final answer
    x = 5,431.73

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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.