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Finding the Fourth Proportional to 6,227.82, 8,594.49 and 3,575.20

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Solution

The fourth proportional to 6,227.82, 8,594.49 and 3,575.20 is: 4,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.82 : 8,594.49 = 3,575.20 : x
  2. Step 2: Convert to fraction form
    6,227.82/8,594.49 = 3,575.20/x
  3. Step 3: Cross multiply
    6,227.82x = 8,594.49 × 3,575.20
  4. Step 4: Simplify right side
    6,227.82x = 30,727,020.65
  5. Step 5: Solve for x
    x = 30,727,020.65/6,227.82
  6. Step 6: Final answer
    x = 4,933.83

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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.