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Finding the Fourth Proportional to 5,942.94, 8,200.90 and 3,290.20

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Solution

The fourth proportional to 5,942.94, 8,200.90 and 3,290.20 is: 4,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.94 : 8,200.90 = 3,290.20 : x
  2. Step 2: Convert to fraction form
    5,942.94/8,200.90 = 3,290.20/x
  3. Step 3: Cross multiply
    5,942.94x = 8,200.90 × 3,290.20
  4. Step 4: Simplify right side
    5,942.94x = 26,982,601.18
  5. Step 5: Solve for x
    x = 26,982,601.18/5,942.94
  6. Step 6: Final answer
    x = 4,540.28

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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.