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Finding the Fourth Proportional to 3,857.83, 5,786.78 and 936.16

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Solution

The fourth proportional to 3,857.83, 5,786.78 and 936.16 is: 1,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.83 : 5,786.78 = 936.16 : x
  2. Step 2: Convert to fraction form
    3,857.83/5,786.78 = 936.16/x
  3. Step 3: Cross multiply
    3,857.83x = 5,786.78 × 936.16
  4. Step 4: Simplify right side
    3,857.83x = 5,417,332.82
  5. Step 5: Solve for x
    x = 5,417,332.82/3,857.83
  6. Step 6: Final answer
    x = 1,404.24

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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.