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Finding the Fourth Proportional to 5,942.96, 8,200.44 and 3,290.30

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Solution

The fourth proportional to 5,942.96, 8,200.44 and 3,290.30 is: 4,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.96 : 8,200.44 = 3,290.30 : x
  2. Step 2: Convert to fraction form
    5,942.96/8,200.44 = 3,290.30/x
  3. Step 3: Cross multiply
    5,942.96x = 8,200.44 × 3,290.30
  4. Step 4: Simplify right side
    5,942.96x = 26,981,907.73
  5. Step 5: Solve for x
    x = 26,981,907.73/5,942.96
  6. Step 6: Final answer
    x = 4,540.15

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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.