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Finding the Fourth Proportional to 3,942.74, 5,914.14 and 1,750.88

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Solution

The fourth proportional to 3,942.74, 5,914.14 and 1,750.88 is: 2,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.74 : 5,914.14 = 1,750.88 : x
  2. Step 2: Convert to fraction form
    3,942.74/5,914.14 = 1,750.88/x
  3. Step 3: Cross multiply
    3,942.74x = 5,914.14 × 1,750.88
  4. Step 4: Simplify right side
    3,942.74x = 10,354,949.44
  5. Step 5: Solve for x
    x = 10,354,949.44/3,942.74
  6. Step 6: Final answer
    x = 2,626.33

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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.