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Finding the Fourth Proportional to 3,857.41, 5,786.09 and 935.72

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Solution

The fourth proportional to 3,857.41, 5,786.09 and 935.72 is: 1,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.41 : 5,786.09 = 935.72 : x
  2. Step 2: Convert to fraction form
    3,857.41/5,786.09 = 935.72/x
  3. Step 3: Cross multiply
    3,857.41x = 5,786.09 × 935.72
  4. Step 4: Simplify right side
    3,857.41x = 5,414,160.13
  5. Step 5: Solve for x
    x = 5,414,160.13/3,857.41
  6. Step 6: Final answer
    x = 1,403.57

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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.