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Finding the Fourth Proportional to 3,342.82, 5,019.41 and 3,194.94

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Solution

The fourth proportional to 3,342.82, 5,019.41 and 3,194.94 is: 4,797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.82 : 5,019.41 = 3,194.94 : x
  2. Step 2: Convert to fraction form
    3,342.82/5,019.41 = 3,194.94/x
  3. Step 3: Cross multiply
    3,342.82x = 5,019.41 × 3,194.94
  4. Step 4: Simplify right side
    3,342.82x = 16,036,713.79
  5. Step 5: Solve for x
    x = 16,036,713.79/3,342.82
  6. Step 6: Final answer
    x = 4,797.36

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1.5x scale

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.