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Finding the Fourth Proportional to 6,337.44, 8,748.20 and 4,183.68

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Solution

The fourth proportional to 6,337.44, 8,748.20 and 4,183.68 is: 5,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.44 : 8,748.20 = 4,183.68 : x
  2. Step 2: Convert to fraction form
    6,337.44/8,748.20 = 4,183.68/x
  3. Step 3: Cross multiply
    6,337.44x = 8,748.20 × 4,183.68
  4. Step 4: Simplify right side
    6,337.44x = 36,599,669.38
  5. Step 5: Solve for x
    x = 36,599,669.38/6,337.44
  6. Step 6: Final answer
    x = 5,775.15

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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.