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Finding the Fourth Proportional to 6,338.14, 8,744.46 and 3,819.30

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Solution

The fourth proportional to 6,338.14, 8,744.46 and 3,819.30 is: 5,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.14 : 8,744.46 = 3,819.30 : x
  2. Step 2: Convert to fraction form
    6,338.14/8,744.46 = 3,819.30/x
  3. Step 3: Cross multiply
    6,338.14x = 8,744.46 × 3,819.30
  4. Step 4: Simplify right side
    6,338.14x = 33,397,716.08
  5. Step 5: Solve for x
    x = 33,397,716.08/6,338.14
  6. Step 6: Final answer
    x = 5,269.32

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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.