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Finding the Fourth Proportional to 3,859.82, 5,789.71 and 938.12

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Solution

The fourth proportional to 3,859.82, 5,789.71 and 938.12 is: 1,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.82 : 5,789.71 = 938.12 : x
  2. Step 2: Convert to fraction form
    3,859.82/5,789.71 = 938.12/x
  3. Step 3: Cross multiply
    3,859.82x = 5,789.71 × 938.12
  4. Step 4: Simplify right side
    3,859.82x = 5,431,425.93
  5. Step 5: Solve for x
    x = 5,431,425.93/3,859.82
  6. Step 6: Final answer
    x = 1,407.17

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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.