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Finding the Fourth Proportional to 3,446.22, 5,169.26 and 849.18

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Solution

The fourth proportional to 3,446.22, 5,169.26 and 849.18 is: 1,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.22 : 5,169.26 = 849.18 : x
  2. Step 2: Convert to fraction form
    3,446.22/5,169.26 = 849.18/x
  3. Step 3: Cross multiply
    3,446.22x = 5,169.26 × 849.18
  4. Step 4: Simplify right side
    3,446.22x = 4,389,632.21
  5. Step 5: Solve for x
    x = 4,389,632.21/3,446.22
  6. Step 6: Final answer
    x = 1,273.75

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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.