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Finding the Fourth Proportional to 5,344.26, 7,375.32 and 2,986.41

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Solution

The fourth proportional to 5,344.26, 7,375.32 and 2,986.41 is: 4,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.26 : 7,375.32 = 2,986.41 : x
  2. Step 2: Convert to fraction form
    5,344.26/7,375.32 = 2,986.41/x
  3. Step 3: Cross multiply
    5,344.26x = 7,375.32 × 2,986.41
  4. Step 4: Simplify right side
    5,344.26x = 22,025,729.40
  5. Step 5: Solve for x
    x = 22,025,729.40/5,344.26
  6. Step 6: Final answer
    x = 4,121.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.