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Finding the Fourth Proportional to 5,246.92, 7,867.74 and 2,321.80

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Solution

The fourth proportional to 5,246.92, 7,867.74 and 2,321.80 is: 3,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.92 : 7,867.74 = 2,321.80 : x
  2. Step 2: Convert to fraction form
    5,246.92/7,867.74 = 2,321.80/x
  3. Step 3: Cross multiply
    5,246.92x = 7,867.74 × 2,321.80
  4. Step 4: Simplify right side
    5,246.92x = 18,267,318.73
  5. Step 5: Solve for x
    x = 18,267,318.73/5,246.92
  6. Step 6: Final answer
    x = 3,481.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.