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Finding the Fourth Proportional to 3,378, 5,067 and 1,069.50

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Solution

The fourth proportional to 3,378, 5,067 and 1,069.50 is: 1,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378 : 5,067 = 1,069.50 : x
  2. Step 2: Convert to fraction form
    3,378/5,067 = 1,069.50/x
  3. Step 3: Cross multiply
    3,378x = 5,067 × 1,069.50
  4. Step 4: Simplify right side
    3,378x = 5,419,156.50
  5. Step 5: Solve for x
    x = 5,419,156.50/3,378
  6. Step 6: Final answer
    x = 1,604.25

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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.