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Finding the Fourth Proportional to 4,227.65, 6,310.92 and 3,709.25

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Solution

The fourth proportional to 4,227.65, 6,310.92 and 3,709.25 is: 5,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.65 : 6,310.92 = 3,709.25 : x
  2. Step 2: Convert to fraction form
    4,227.65/6,310.92 = 3,709.25/x
  3. Step 3: Cross multiply
    4,227.65x = 6,310.92 × 3,709.25
  4. Step 4: Simplify right side
    4,227.65x = 23,408,789.28
  5. Step 5: Solve for x
    x = 23,408,789.28/4,227.65
  6. Step 6: Final answer
    x = 5,537.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.