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Finding the Fourth Proportional to 3,589.97, 5,375.77 and 3,257.06

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Solution

The fourth proportional to 3,589.97, 5,375.77 and 3,257.06 is: 4,877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.97 : 5,375.77 = 3,257.06 : x
  2. Step 2: Convert to fraction form
    3,589.97/5,375.77 = 3,257.06/x
  3. Step 3: Cross multiply
    3,589.97x = 5,375.77 × 3,257.06
  4. Step 4: Simplify right side
    3,589.97x = 17,509,205.44
  5. Step 5: Solve for x
    x = 17,509,205.44/3,589.97
  6. Step 6: Final answer
    x = 4,877.26

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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.