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Finding the Fourth Proportional to 6,229.30, 8,596.11 and 3,871.39

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Solution

The fourth proportional to 6,229.30, 8,596.11 and 3,871.39 is: 5,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.30 : 8,596.11 = 3,871.39 : x
  2. Step 2: Convert to fraction form
    6,229.30/8,596.11 = 3,871.39/x
  3. Step 3: Cross multiply
    6,229.30x = 8,596.11 × 3,871.39
  4. Step 4: Simplify right side
    6,229.30x = 33,278,894.29
  5. Step 5: Solve for x
    x = 33,278,894.29/6,229.30
  6. Step 6: Final answer
    x = 5,342.32

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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.