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Finding the Fourth Proportional to 4,819.80, 6,650.82 and 3,027

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Solution

The fourth proportional to 4,819.80, 6,650.82 and 3,027 is: 4,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.80 : 6,650.82 = 3,027 : x
  2. Step 2: Convert to fraction form
    4,819.80/6,650.82 = 3,027/x
  3. Step 3: Cross multiply
    4,819.80x = 6,650.82 × 3,027
  4. Step 4: Simplify right side
    4,819.80x = 20,132,032.14
  5. Step 5: Solve for x
    x = 20,132,032.14/4,819.80
  6. Step 6: Final answer
    x = 4,176.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.