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Finding the Fourth Proportional to 5,165.91, 7,744.54 and 2,394.57

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Solution

The fourth proportional to 5,165.91, 7,744.54 and 2,394.57 is: 3,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.91 : 7,744.54 = 2,394.57 : x
  2. Step 2: Convert to fraction form
    5,165.91/7,744.54 = 2,394.57/x
  3. Step 3: Cross multiply
    5,165.91x = 7,744.54 × 2,394.57
  4. Step 4: Simplify right side
    5,165.91x = 18,544,843.15
  5. Step 5: Solve for x
    x = 18,544,843.15/5,165.91
  6. Step 6: Final answer
    x = 3,589.85

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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.