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Finding the Fourth Proportional to 4,269.88, 5,891.42 and 2,591.24

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Solution

The fourth proportional to 4,269.88, 5,891.42 and 2,591.24 is: 3,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.88 : 5,891.42 = 2,591.24 : x
  2. Step 2: Convert to fraction form
    4,269.88/5,891.42 = 2,591.24/x
  3. Step 3: Cross multiply
    4,269.88x = 5,891.42 × 2,591.24
  4. Step 4: Simplify right side
    4,269.88x = 15,266,083.16
  5. Step 5: Solve for x
    x = 15,266,083.16/4,269.88
  6. Step 6: Final answer
    x = 3,575.30

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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.