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Finding the Fourth Proportional to 6,589.97, 9,093.83 and 3,757.41

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Solution

The fourth proportional to 6,589.97, 9,093.83 and 3,757.41 is: 5,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.97 : 9,093.83 = 3,757.41 : x
  2. Step 2: Convert to fraction form
    6,589.97/9,093.83 = 3,757.41/x
  3. Step 3: Cross multiply
    6,589.97x = 9,093.83 × 3,757.41
  4. Step 4: Simplify right side
    6,589.97x = 34,169,228.99
  5. Step 5: Solve for x
    x = 34,169,228.99/6,589.97
  6. Step 6: Final answer
    x = 5,185.04

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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.