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Finding the Fourth Proportional to 3,863.86, 5,796.87 and 1,268.62

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Solution

The fourth proportional to 3,863.86, 5,796.87 and 1,268.62 is: 1,903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.86 : 5,796.87 = 1,268.62 : x
  2. Step 2: Convert to fraction form
    3,863.86/5,796.87 = 1,268.62/x
  3. Step 3: Cross multiply
    3,863.86x = 5,796.87 × 1,268.62
  4. Step 4: Simplify right side
    3,863.86x = 7,354,010.73
  5. Step 5: Solve for x
    x = 7,354,010.73/3,863.86
  6. Step 6: Final answer
    x = 1,903.28

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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.