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Finding the Fourth Proportional to 3,857.72, 5,786.56 and 936.04

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Solution

The fourth proportional to 3,857.72, 5,786.56 and 936.04 is: 1,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.72 : 5,786.56 = 936.04 : x
  2. Step 2: Convert to fraction form
    3,857.72/5,786.56 = 936.04/x
  3. Step 3: Cross multiply
    3,857.72x = 5,786.56 × 936.04
  4. Step 4: Simplify right side
    3,857.72x = 5,416,451.62
  5. Step 5: Solve for x
    x = 5,416,451.62/3,857.72
  6. Step 6: Final answer
    x = 1,404.06

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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.