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Finding the Fourth Proportional to 5,854.26, 8,078.82 and 3,201.72

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Solution

The fourth proportional to 5,854.26, 8,078.82 and 3,201.72 is: 4,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.26 : 8,078.82 = 3,201.72 : x
  2. Step 2: Convert to fraction form
    5,854.26/8,078.82 = 3,201.72/x
  3. Step 3: Cross multiply
    5,854.26x = 8,078.82 × 3,201.72
  4. Step 4: Simplify right side
    5,854.26x = 25,866,119.57
  5. Step 5: Solve for x
    x = 25,866,119.57/5,854.26
  6. Step 6: Final answer
    x = 4,418.34

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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.