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Finding the Fourth Proportional to 4,969.50, 7,450.38 and 2,626.44

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Solution

The fourth proportional to 4,969.50, 7,450.38 and 2,626.44 is: 3,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.50 : 7,450.38 = 2,626.44 : x
  2. Step 2: Convert to fraction form
    4,969.50/7,450.38 = 2,626.44/x
  3. Step 3: Cross multiply
    4,969.50x = 7,450.38 × 2,626.44
  4. Step 4: Simplify right side
    4,969.50x = 19,567,976.05
  5. Step 5: Solve for x
    x = 19,567,976.05/4,969.50
  6. Step 6: Final answer
    x = 3,937.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.