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Finding the Fourth Proportional to 5,854.91, 8,079.61 and 3,202.15

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Solution

The fourth proportional to 5,854.91, 8,079.61 and 3,202.15 is: 4,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.91 : 8,079.61 = 3,202.15 : x
  2. Step 2: Convert to fraction form
    5,854.91/8,079.61 = 3,202.15/x
  3. Step 3: Cross multiply
    5,854.91x = 8,079.61 × 3,202.15
  4. Step 4: Simplify right side
    5,854.91x = 25,872,102.96
  5. Step 5: Solve for x
    x = 25,872,102.96/5,854.91
  6. Step 6: Final answer
    x = 4,418.87

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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.