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Finding the Fourth Proportional to 5,854.71, 8,079.15 and 3,201.96

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Solution

The fourth proportional to 5,854.71, 8,079.15 and 3,201.96 is: 4,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.71 : 8,079.15 = 3,201.96 : x
  2. Step 2: Convert to fraction form
    5,854.71/8,079.15 = 3,201.96/x
  3. Step 3: Cross multiply
    5,854.71x = 8,079.15 × 3,201.96
  4. Step 4: Simplify right side
    5,854.71x = 25,869,115.13
  5. Step 5: Solve for x
    x = 25,869,115.13/5,854.71
  6. Step 6: Final answer
    x = 4,418.51

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Why These Related Problems?

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