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Finding the Fourth Proportional to 3,288.88, 4,933.32 and 3,067.42

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Solution

The fourth proportional to 3,288.88, 4,933.32 and 3,067.42 is: 4,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.88 : 4,933.32 = 3,067.42 : x
  2. Step 2: Convert to fraction form
    3,288.88/4,933.32 = 3,067.42/x
  3. Step 3: Cross multiply
    3,288.88x = 4,933.32 × 3,067.42
  4. Step 4: Simplify right side
    3,288.88x = 15,132,564.43
  5. Step 5: Solve for x
    x = 15,132,564.43/3,288.88
  6. Step 6: Final answer
    x = 4,601.13

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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.