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Finding the Fourth Proportional to 3,843.44, 5,765.24 and 2,529.68

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Solution

The fourth proportional to 3,843.44, 5,765.24 and 2,529.68 is: 3,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.44 : 5,765.24 = 2,529.68 : x
  2. Step 2: Convert to fraction form
    3,843.44/5,765.24 = 2,529.68/x
  3. Step 3: Cross multiply
    3,843.44x = 5,765.24 × 2,529.68
  4. Step 4: Simplify right side
    3,843.44x = 14,584,212.32
  5. Step 5: Solve for x
    x = 14,584,212.32/3,843.44
  6. Step 6: Final answer
    x = 3,794.57

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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.