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Finding the Fourth Proportional to 3,768.66, 5,200.61 and 2,067.26

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Solution

The fourth proportional to 3,768.66, 5,200.61 and 2,067.26 is: 2,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.66 : 5,200.61 = 2,067.26 : x
  2. Step 2: Convert to fraction form
    3,768.66/5,200.61 = 2,067.26/x
  3. Step 3: Cross multiply
    3,768.66x = 5,200.61 × 2,067.26
  4. Step 4: Simplify right side
    3,768.66x = 10,750,976.69
  5. Step 5: Solve for x
    x = 10,750,976.69/3,768.66
  6. Step 6: Final answer
    x = 2,852.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.