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Finding the Fourth Proportional to 5,446.42, 8,169.62 and 3,806.17

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Solution

The fourth proportional to 5,446.42, 8,169.62 and 3,806.17 is: 5,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.42 : 8,169.62 = 3,806.17 : x
  2. Step 2: Convert to fraction form
    5,446.42/8,169.62 = 3,806.17/x
  3. Step 3: Cross multiply
    5,446.42x = 8,169.62 × 3,806.17
  4. Step 4: Simplify right side
    5,446.42x = 31,094,962.56
  5. Step 5: Solve for x
    x = 31,094,962.56/5,446.42
  6. Step 6: Final answer
    x = 5,709.25

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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.