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Finding the Fourth Proportional to 3,857.56, 5,786.37 and 935.87

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Solution

The fourth proportional to 3,857.56, 5,786.37 and 935.87 is: 1,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.56 : 5,786.37 = 935.87 : x
  2. Step 2: Convert to fraction form
    3,857.56/5,786.37 = 935.87/x
  3. Step 3: Cross multiply
    3,857.56x = 5,786.37 × 935.87
  4. Step 4: Simplify right side
    3,857.56x = 5,415,261.16
  5. Step 5: Solve for x
    x = 5,415,261.16/3,857.56
  6. Step 6: Final answer
    x = 1,403.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.