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Finding the Fourth Proportional to 3,863.83, 5,791.29 and 1,779.48

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Solution

The fourth proportional to 3,863.83, 5,791.29 and 1,779.48 is: 2,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.83 : 5,791.29 = 1,779.48 : x
  2. Step 2: Convert to fraction form
    3,863.83/5,791.29 = 1,779.48/x
  3. Step 3: Cross multiply
    3,863.83x = 5,791.29 × 1,779.48
  4. Step 4: Simplify right side
    3,863.83x = 10,305,484.73
  5. Step 5: Solve for x
    x = 10,305,484.73/3,863.83
  6. Step 6: Final answer
    x = 2,667.17

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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.