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Finding the Fourth Proportional to 3,811.43, 5,707.11 and 3,067.07

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Solution

The fourth proportional to 3,811.43, 5,707.11 and 3,067.07 is: 4,592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.43 : 5,707.11 = 3,067.07 : x
  2. Step 2: Convert to fraction form
    3,811.43/5,707.11 = 3,067.07/x
  3. Step 3: Cross multiply
    3,811.43x = 5,707.11 × 3,067.07
  4. Step 4: Simplify right side
    3,811.43x = 17,504,077.33
  5. Step 5: Solve for x
    x = 17,504,077.33/3,811.43
  6. Step 6: Final answer
    x = 4,592.53

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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.