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Finding the Fourth Proportional to 6,310.31, 8,708.23 and 3,659.26

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Solution

The fourth proportional to 6,310.31, 8,708.23 and 3,659.26 is: 5,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.31 : 8,708.23 = 3,659.26 : x
  2. Step 2: Convert to fraction form
    6,310.31/8,708.23 = 3,659.26/x
  3. Step 3: Cross multiply
    6,310.31x = 8,708.23 × 3,659.26
  4. Step 4: Simplify right side
    6,310.31x = 31,865,677.71
  5. Step 5: Solve for x
    x = 31,865,677.71/6,310.31
  6. Step 6: Final answer
    x = 5,049.78

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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.