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Finding the Fourth Proportional to 3,764.75, 5,650.62 and 2,711.65

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Solution

The fourth proportional to 3,764.75, 5,650.62 and 2,711.65 is: 4,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.75 : 5,650.62 = 2,711.65 : x
  2. Step 2: Convert to fraction form
    3,764.75/5,650.62 = 2,711.65/x
  3. Step 3: Cross multiply
    3,764.75x = 5,650.62 × 2,711.65
  4. Step 4: Simplify right side
    3,764.75x = 15,322,477.73
  5. Step 5: Solve for x
    x = 15,322,477.73/3,764.75
  6. Step 6: Final answer
    x = 4,069.99

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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.