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Finding the Fourth Proportional to 5,044.26, 6,960.67 and 2,806

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Solution

The fourth proportional to 5,044.26, 6,960.67 and 2,806 is: 3,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.26 : 6,960.67 = 2,806 : x
  2. Step 2: Convert to fraction form
    5,044.26/6,960.67 = 2,806/x
  3. Step 3: Cross multiply
    5,044.26x = 6,960.67 × 2,806
  4. Step 4: Simplify right side
    5,044.26x = 19,531,640.02
  5. Step 5: Solve for x
    x = 19,531,640.02/5,044.26
  6. Step 6: Final answer
    x = 3,872.05

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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.