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Finding the Fourth Proportional to 6,078.38, 9,120.31 and 3,481.31

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Solution

The fourth proportional to 6,078.38, 9,120.31 and 3,481.31 is: 5,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.38 : 9,120.31 = 3,481.31 : x
  2. Step 2: Convert to fraction form
    6,078.38/9,120.31 = 3,481.31/x
  3. Step 3: Cross multiply
    6,078.38x = 9,120.31 × 3,481.31
  4. Step 4: Simplify right side
    6,078.38x = 31,750,640.50
  5. Step 5: Solve for x
    x = 31,750,640.50/6,078.38
  6. Step 6: Final answer
    x = 5,223.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.