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Finding the Fourth Proportional to 5,286.50, 7,295.82 and 3,049.11

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Solution

The fourth proportional to 5,286.50, 7,295.82 and 3,049.11 is: 4,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.50 : 7,295.82 = 3,049.11 : x
  2. Step 2: Convert to fraction form
    5,286.50/7,295.82 = 3,049.11/x
  3. Step 3: Cross multiply
    5,286.50x = 7,295.82 × 3,049.11
  4. Step 4: Simplify right side
    5,286.50x = 22,245,757.72
  5. Step 5: Solve for x
    x = 22,245,757.72/5,286.50
  6. Step 6: Final answer
    x = 4,208.04

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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.