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Finding the Fourth Proportional to 3,900.67, 5,382.78 and 2,327.65

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Solution

The fourth proportional to 3,900.67, 5,382.78 and 2,327.65 is: 3,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.67 : 5,382.78 = 2,327.65 : x
  2. Step 2: Convert to fraction form
    3,900.67/5,382.78 = 2,327.65/x
  3. Step 3: Cross multiply
    3,900.67x = 5,382.78 × 2,327.65
  4. Step 4: Simplify right side
    3,900.67x = 12,529,227.87
  5. Step 5: Solve for x
    x = 12,529,227.87/3,900.67
  6. Step 6: Final answer
    x = 3,212.07

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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.