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Finding the Fourth Proportional to 3,858.14, 5,787.22 and 936.43

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Solution

The fourth proportional to 3,858.14, 5,787.22 and 936.43 is: 1,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.14 : 5,787.22 = 936.43 : x
  2. Step 2: Convert to fraction form
    3,858.14/5,787.22 = 936.43/x
  3. Step 3: Cross multiply
    3,858.14x = 5,787.22 × 936.43
  4. Step 4: Simplify right side
    3,858.14x = 5,419,309.62
  5. Step 5: Solve for x
    x = 5,419,309.62/3,858.14
  6. Step 6: Final answer
    x = 1,404.64

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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.