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Finding the Fourth Proportional to 6,339.38, 8,748.40 and 3,821.62

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Solution

The fourth proportional to 6,339.38, 8,748.40 and 3,821.62 is: 5,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.38 : 8,748.40 = 3,821.62 : x
  2. Step 2: Convert to fraction form
    6,339.38/8,748.40 = 3,821.62/x
  3. Step 3: Cross multiply
    6,339.38x = 8,748.40 × 3,821.62
  4. Step 4: Simplify right side
    6,339.38x = 33,433,060.41
  5. Step 5: Solve for x
    x = 33,433,060.41/6,339.38
  6. Step 6: Final answer
    x = 5,273.87

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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.