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Finding the Fourth Proportional to 3,857.33, 5,785.94 and 935.61

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Solution

The fourth proportional to 3,857.33, 5,785.94 and 935.61 is: 1,403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.33 : 5,785.94 = 935.61 : x
  2. Step 2: Convert to fraction form
    3,857.33/5,785.94 = 935.61/x
  3. Step 3: Cross multiply
    3,857.33x = 5,785.94 × 935.61
  4. Step 4: Simplify right side
    3,857.33x = 5,413,383.32
  5. Step 5: Solve for x
    x = 5,413,383.32/3,857.33
  6. Step 6: Final answer
    x = 1,403.40

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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.