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Finding the Fourth Proportional to 3,857.64, 5,786.41 and 935.93

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Solution

The fourth proportional to 3,857.64, 5,786.41 and 935.93 is: 1,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.64 : 5,786.41 = 935.93 : x
  2. Step 2: Convert to fraction form
    3,857.64/5,786.41 = 935.93/x
  3. Step 3: Cross multiply
    3,857.64x = 5,786.41 × 935.93
  4. Step 4: Simplify right side
    3,857.64x = 5,415,674.71
  5. Step 5: Solve for x
    x = 5,415,674.71/3,857.64
  6. Step 6: Final answer
    x = 1,403.88

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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.