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Finding the Fourth Proportional to 3,844.34, 5,765.52 and 1,378.80

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Solution

The fourth proportional to 3,844.34, 5,765.52 and 1,378.80 is: 2,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.34 : 5,765.52 = 1,378.80 : x
  2. Step 2: Convert to fraction form
    3,844.34/5,765.52 = 1,378.80/x
  3. Step 3: Cross multiply
    3,844.34x = 5,765.52 × 1,378.80
  4. Step 4: Simplify right side
    3,844.34x = 7,949,506.50
  5. Step 5: Solve for x
    x = 7,949,506.50/3,844.34
  6. Step 6: Final answer
    x = 2,067.85

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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.