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Finding the Fourth Proportional to 5,947.57, 8,920.27 and 2,249.65

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Solution

The fourth proportional to 5,947.57, 8,920.27 and 2,249.65 is: 3,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.57 : 8,920.27 = 2,249.65 : x
  2. Step 2: Convert to fraction form
    5,947.57/8,920.27 = 2,249.65/x
  3. Step 3: Cross multiply
    5,947.57x = 8,920.27 × 2,249.65
  4. Step 4: Simplify right side
    5,947.57x = 20,067,485.41
  5. Step 5: Solve for x
    x = 20,067,485.41/5,947.57
  6. Step 6: Final answer
    x = 3,374.06

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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.