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Finding the Fourth Proportional to 5,247.45, 7,871.22 and 1,351.80

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Solution

The fourth proportional to 5,247.45, 7,871.22 and 1,351.80 is: 2,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.45 : 7,871.22 = 1,351.80 : x
  2. Step 2: Convert to fraction form
    5,247.45/7,871.22 = 1,351.80/x
  3. Step 3: Cross multiply
    5,247.45x = 7,871.22 × 1,351.80
  4. Step 4: Simplify right side
    5,247.45x = 10,640,315.20
  5. Step 5: Solve for x
    x = 10,640,315.20/5,247.45
  6. Step 6: Final answer
    x = 2,027.71

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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.