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Finding the Fourth Proportional to 6,480.38, 8,940.69 and 3,647.18

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Solution

The fourth proportional to 6,480.38, 8,940.69 and 3,647.18 is: 5,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.38 : 8,940.69 = 3,647.18 : x
  2. Step 2: Convert to fraction form
    6,480.38/8,940.69 = 3,647.18/x
  3. Step 3: Cross multiply
    6,480.38x = 8,940.69 × 3,647.18
  4. Step 4: Simplify right side
    6,480.38x = 32,608,305.75
  5. Step 5: Solve for x
    x = 32,608,305.75/6,480.38
  6. Step 6: Final answer
    x = 5,031.85

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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.