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Finding the Fourth Proportional to 6,321.61, 8,723.97 and 3,804.73

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Solution

The fourth proportional to 6,321.61, 8,723.97 and 3,804.73 is: 5,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.61 : 8,723.97 = 3,804.73 : x
  2. Step 2: Convert to fraction form
    6,321.61/8,723.97 = 3,804.73/x
  3. Step 3: Cross multiply
    6,321.61x = 8,723.97 × 3,804.73
  4. Step 4: Simplify right side
    6,321.61x = 33,192,350.38
  5. Step 5: Solve for x
    x = 33,192,350.38/6,321.61
  6. Step 6: Final answer
    x = 5,250.62

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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.