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Finding the Fourth Proportional to 3,863.80, 5,796.77 and 1,268.56

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Solution

The fourth proportional to 3,863.80, 5,796.77 and 1,268.56 is: 1,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.80 : 5,796.77 = 1,268.56 : x
  2. Step 2: Convert to fraction form
    3,863.80/5,796.77 = 1,268.56/x
  3. Step 3: Cross multiply
    3,863.80x = 5,796.77 × 1,268.56
  4. Step 4: Simplify right side
    3,863.80x = 7,353,524.74
  5. Step 5: Solve for x
    x = 7,353,524.74/3,863.80
  6. Step 6: Final answer
    x = 1,903.19

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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.