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Finding the Fourth Proportional to 3,857.93, 5,786.83 and 936.26

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Solution

The fourth proportional to 3,857.93, 5,786.83 and 936.26 is: 1,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.93 : 5,786.83 = 936.26 : x
  2. Step 2: Convert to fraction form
    3,857.93/5,786.83 = 936.26/x
  3. Step 3: Cross multiply
    3,857.93x = 5,786.83 × 936.26
  4. Step 4: Simplify right side
    3,857.93x = 5,417,977.46
  5. Step 5: Solve for x
    x = 5,417,977.46/3,857.93
  6. Step 6: Final answer
    x = 1,404.37

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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.