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Finding the Fourth Proportional to 5,286.24, 7,910.76 and 4,243.68

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Solution

The fourth proportional to 5,286.24, 7,910.76 and 4,243.68 is: 6,350.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.24 : 7,910.76 = 4,243.68 : x
  2. Step 2: Convert to fraction form
    5,286.24/7,910.76 = 4,243.68/x
  3. Step 3: Cross multiply
    5,286.24x = 7,910.76 × 4,243.68
  4. Step 4: Simplify right side
    5,286.24x = 33,570,734.00
  5. Step 5: Solve for x
    x = 33,570,734.00/5,286.24
  6. Step 6: Final answer
    x = 6,350.59

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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.