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Finding the Fourth Proportional to 5,745.65, 7,928.98 and 3,227.83

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Solution

The fourth proportional to 5,745.65, 7,928.98 and 3,227.83 is: 4,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.65 : 7,928.98 = 3,227.83 : x
  2. Step 2: Convert to fraction form
    5,745.65/7,928.98 = 3,227.83/x
  3. Step 3: Cross multiply
    5,745.65x = 7,928.98 × 3,227.83
  4. Step 4: Simplify right side
    5,745.65x = 25,593,343.73
  5. Step 5: Solve for x
    x = 25,593,343.73/5,745.65
  6. Step 6: Final answer
    x = 4,454.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.