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Finding the Fourth Proportional to 3,789.65, 5,229.96 and 2,297.70

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Solution

The fourth proportional to 3,789.65, 5,229.96 and 2,297.70 is: 3,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.65 : 5,229.96 = 2,297.70 : x
  2. Step 2: Convert to fraction form
    3,789.65/5,229.96 = 2,297.70/x
  3. Step 3: Cross multiply
    3,789.65x = 5,229.96 × 2,297.70
  4. Step 4: Simplify right side
    3,789.65x = 12,016,879.09
  5. Step 5: Solve for x
    x = 12,016,879.09/3,789.65
  6. Step 6: Final answer
    x = 3,170.98

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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.