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Finding the Fourth Proportional to 3,857.65, 5,786.44 and 935.97

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Solution

The fourth proportional to 3,857.65, 5,786.44 and 935.97 is: 1,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.65 : 5,786.44 = 935.97 : x
  2. Step 2: Convert to fraction form
    3,857.65/5,786.44 = 935.97/x
  3. Step 3: Cross multiply
    3,857.65x = 5,786.44 × 935.97
  4. Step 4: Simplify right side
    3,857.65x = 5,415,934.25
  5. Step 5: Solve for x
    x = 5,415,934.25/3,857.65
  6. Step 6: Final answer
    x = 1,403.95

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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.