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Finding the Fourth Proportional to 5,944.23, 8,200.68 and 3,819.44

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Solution

The fourth proportional to 5,944.23, 8,200.68 and 3,819.44 is: 5,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.23 : 8,200.68 = 3,819.44 : x
  2. Step 2: Convert to fraction form
    5,944.23/8,200.68 = 3,819.44/x
  3. Step 3: Cross multiply
    5,944.23x = 8,200.68 × 3,819.44
  4. Step 4: Simplify right side
    5,944.23x = 31,321,964.22
  5. Step 5: Solve for x
    x = 31,321,964.22/5,944.23
  6. Step 6: Final answer
    x = 5,269.31

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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.