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Finding the Fourth Proportional to 5,523.30, 8,282.10 and 1,627.20

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Solution

The fourth proportional to 5,523.30, 8,282.10 and 1,627.20 is: 2,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.30 : 8,282.10 = 1,627.20 : x
  2. Step 2: Convert to fraction form
    5,523.30/8,282.10 = 1,627.20/x
  3. Step 3: Cross multiply
    5,523.30x = 8,282.10 × 1,627.20
  4. Step 4: Simplify right side
    5,523.30x = 13,476,633.12
  5. Step 5: Solve for x
    x = 13,476,633.12/5,523.30
  6. Step 6: Final answer
    x = 2,439.96

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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.