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Finding the Fourth Proportional to 3,857.42, 5,786.17 and 935.75

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Solution

The fourth proportional to 3,857.42, 5,786.17 and 935.75 is: 1,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.42 : 5,786.17 = 935.75 : x
  2. Step 2: Convert to fraction form
    3,857.42/5,786.17 = 935.75/x
  3. Step 3: Cross multiply
    3,857.42x = 5,786.17 × 935.75
  4. Step 4: Simplify right side
    3,857.42x = 5,414,420.70
  5. Step 5: Solve for x
    x = 5,414,420.70/3,857.42
  6. Step 6: Final answer
    x = 1,403.64

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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.