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Finding the Fourth Proportional to 6,295.38, 8,687.31 and 3,462.72

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Solution

The fourth proportional to 6,295.38, 8,687.31 and 3,462.72 is: 4,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.38 : 8,687.31 = 3,462.72 : x
  2. Step 2: Convert to fraction form
    6,295.38/8,687.31 = 3,462.72/x
  3. Step 3: Cross multiply
    6,295.38x = 8,687.31 × 3,462.72
  4. Step 4: Simplify right side
    6,295.38x = 30,081,722.08
  5. Step 5: Solve for x
    x = 30,081,722.08/6,295.38
  6. Step 6: Final answer
    x = 4,778.38

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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.