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Finding the Fourth Proportional to 5,232.80, 7,849.20 and 3,286.37

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Solution

The fourth proportional to 5,232.80, 7,849.20 and 3,286.37 is: 4,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.80 : 7,849.20 = 3,286.37 : x
  2. Step 2: Convert to fraction form
    5,232.80/7,849.20 = 3,286.37/x
  3. Step 3: Cross multiply
    5,232.80x = 7,849.20 × 3,286.37
  4. Step 4: Simplify right side
    5,232.80x = 25,795,375.40
  5. Step 5: Solve for x
    x = 25,795,375.40/5,232.80
  6. Step 6: Final answer
    x = 4,929.56

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Why These Related Problems?

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