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Finding the Fourth Proportional to 2,863.85, 3,947.96 and 2,365.61

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Solution

The fourth proportional to 2,863.85, 3,947.96 and 2,365.61 is: 3,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.85 : 3,947.96 = 2,365.61 : x
  2. Step 2: Convert to fraction form
    2,863.85/3,947.96 = 2,365.61/x
  3. Step 3: Cross multiply
    2,863.85x = 3,947.96 × 2,365.61
  4. Step 4: Simplify right side
    2,863.85x = 9,339,321.83
  5. Step 5: Solve for x
    x = 9,339,321.83/2,863.85
  6. Step 6: Final answer
    x = 3,261.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.