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Finding the Fourth Proportional to 3,376.80, 5,061.24 and 1,525.76

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Solution

The fourth proportional to 3,376.80, 5,061.24 and 1,525.76 is: 2,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.80 : 5,061.24 = 1,525.76 : x
  2. Step 2: Convert to fraction form
    3,376.80/5,061.24 = 1,525.76/x
  3. Step 3: Cross multiply
    3,376.80x = 5,061.24 × 1,525.76
  4. Step 4: Simplify right side
    3,376.80x = 7,722,237.54
  5. Step 5: Solve for x
    x = 7,722,237.54/3,376.80
  6. Step 6: Final answer
    x = 2,286.85

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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.