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Finding the Fourth Proportional to 3,857.43, 5,786.18 and 935.74

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Solution

The fourth proportional to 3,857.43, 5,786.18 and 935.74 is: 1,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.43 : 5,786.18 = 935.74 : x
  2. Step 2: Convert to fraction form
    3,857.43/5,786.18 = 935.74/x
  3. Step 3: Cross multiply
    3,857.43x = 5,786.18 × 935.74
  4. Step 4: Simplify right side
    3,857.43x = 5,414,360.07
  5. Step 5: Solve for x
    x = 5,414,360.07/3,857.43
  6. Step 6: Final answer
    x = 1,403.62

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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.