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Finding the Fourth Proportional to 3,764.87, 5,642.27 and 2,120.75

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Solution

The fourth proportional to 3,764.87, 5,642.27 and 2,120.75 is: 3,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.87 : 5,642.27 = 2,120.75 : x
  2. Step 2: Convert to fraction form
    3,764.87/5,642.27 = 2,120.75/x
  3. Step 3: Cross multiply
    3,764.87x = 5,642.27 × 2,120.75
  4. Step 4: Simplify right side
    3,764.87x = 11,965,833.50
  5. Step 5: Solve for x
    x = 11,965,833.50/3,764.87
  6. Step 6: Final answer
    x = 3,178.29

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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.