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Finding the Fourth Proportional to 5,536, 7,640.22 and 3,052

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Solution

The fourth proportional to 5,536, 7,640.22 and 3,052 is: 4,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536 : 7,640.22 = 3,052 : x
  2. Step 2: Convert to fraction form
    5,536/7,640.22 = 3,052/x
  3. Step 3: Cross multiply
    5,536x = 7,640.22 × 3,052
  4. Step 4: Simplify right side
    5,536x = 23,317,951.44
  5. Step 5: Solve for x
    x = 23,317,951.44/5,536
  6. Step 6: Final answer
    x = 4,212.06

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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.