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Finding the Fourth Proportional to 3,843.80, 5,765.08 and 1,378.20

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Solution

The fourth proportional to 3,843.80, 5,765.08 and 1,378.20 is: 2,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.80 : 5,765.08 = 1,378.20 : x
  2. Step 2: Convert to fraction form
    3,843.80/5,765.08 = 1,378.20/x
  3. Step 3: Cross multiply
    3,843.80x = 5,765.08 × 1,378.20
  4. Step 4: Simplify right side
    3,843.80x = 7,945,433.26
  5. Step 5: Solve for x
    x = 7,945,433.26/3,843.80
  6. Step 6: Final answer
    x = 2,067.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.