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Finding the Fourth Proportional to 3,956.20, 5,934.94 and 1,764.88

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Solution

The fourth proportional to 3,956.20, 5,934.94 and 1,764.88 is: 2,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.20 : 5,934.94 = 1,764.88 : x
  2. Step 2: Convert to fraction form
    3,956.20/5,934.94 = 1,764.88/x
  3. Step 3: Cross multiply
    3,956.20x = 5,934.94 × 1,764.88
  4. Step 4: Simplify right side
    3,956.20x = 10,474,456.91
  5. Step 5: Solve for x
    x = 10,474,456.91/3,956.20
  6. Step 6: Final answer
    x = 2,647.61

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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.