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Finding the Fourth Proportional to 3,202, 4,409.40 and 3,067.12

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Solution

The fourth proportional to 3,202, 4,409.40 and 3,067.12 is: 4,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202 : 4,409.40 = 3,067.12 : x
  2. Step 2: Convert to fraction form
    3,202/4,409.40 = 3,067.12/x
  3. Step 3: Cross multiply
    3,202x = 4,409.40 × 3,067.12
  4. Step 4: Simplify right side
    3,202x = 13,524,158.93
  5. Step 5: Solve for x
    x = 13,524,158.93/3,202
  6. Step 6: Final answer
    x = 4,223.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.