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Finding the Fourth Proportional to 5,449.44, 8,174.12 and 3,809.18

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Solution

The fourth proportional to 5,449.44, 8,174.12 and 3,809.18 is: 5,713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.44 : 8,174.12 = 3,809.18 : x
  2. Step 2: Convert to fraction form
    5,449.44/8,174.12 = 3,809.18/x
  3. Step 3: Cross multiply
    5,449.44x = 8,174.12 × 3,809.18
  4. Step 4: Simplify right side
    5,449.44x = 31,136,694.42
  5. Step 5: Solve for x
    x = 31,136,694.42/5,449.44
  6. Step 6: Final answer
    x = 5,713.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.