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Finding the Fourth Proportional to 5,469.42, 8,215.17 and 3,282.30

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Solution

The fourth proportional to 5,469.42, 8,215.17 and 3,282.30 is: 4,930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.42 : 8,215.17 = 3,282.30 : x
  2. Step 2: Convert to fraction form
    5,469.42/8,215.17 = 3,282.30/x
  3. Step 3: Cross multiply
    5,469.42x = 8,215.17 × 3,282.30
  4. Step 4: Simplify right side
    5,469.42x = 26,964,652.49
  5. Step 5: Solve for x
    x = 26,964,652.49/5,469.42
  6. Step 6: Final answer
    x = 4,930.08

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