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Finding the Fourth Proportional to 5,446.17, 8,169.25 and 3,805.92

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Solution

The fourth proportional to 5,446.17, 8,169.25 and 3,805.92 is: 5,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.17 : 8,169.25 = 3,805.92 : x
  2. Step 2: Convert to fraction form
    5,446.17/8,169.25 = 3,805.92/x
  3. Step 3: Cross multiply
    5,446.17x = 8,169.25 × 3,805.92
  4. Step 4: Simplify right side
    5,446.17x = 31,091,492.93
  5. Step 5: Solve for x
    x = 31,091,492.93/5,446.17
  6. Step 6: Final answer
    x = 5,708.87

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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.