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Finding the Fourth Proportional to 3,361, 5,041.50 and 3,162.28

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Solution

The fourth proportional to 3,361, 5,041.50 and 3,162.28 is: 4,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361 : 5,041.50 = 3,162.28 : x
  2. Step 2: Convert to fraction form
    3,361/5,041.50 = 3,162.28/x
  3. Step 3: Cross multiply
    3,361x = 5,041.50 × 3,162.28
  4. Step 4: Simplify right side
    3,361x = 15,942,634.62
  5. Step 5: Solve for x
    x = 15,942,634.62/3,361
  6. Step 6: Final answer
    x = 4,743.42

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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.