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Finding the Fourth Proportional to 3,357, 5,034.96 and 2,380.14

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Solution

The fourth proportional to 3,357, 5,034.96 and 2,380.14 is: 3,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357 : 5,034.96 = 2,380.14 : x
  2. Step 2: Convert to fraction form
    3,357/5,034.96 = 2,380.14/x
  3. Step 3: Cross multiply
    3,357x = 5,034.96 × 2,380.14
  4. Step 4: Simplify right side
    3,357x = 11,983,909.69
  5. Step 5: Solve for x
    x = 11,983,909.69/3,357
  6. Step 6: Final answer
    x = 3,569.83

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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.