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Finding the Fourth Proportional to 3,859.73, 5,789.16 and 1,086.63

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Solution

The fourth proportional to 3,859.73, 5,789.16 and 1,086.63 is: 1,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.73 : 5,789.16 = 1,086.63 : x
  2. Step 2: Convert to fraction form
    3,859.73/5,789.16 = 1,086.63/x
  3. Step 3: Cross multiply
    3,859.73x = 5,789.16 × 1,086.63
  4. Step 4: Simplify right side
    3,859.73x = 6,290,674.93
  5. Step 5: Solve for x
    x = 6,290,674.93/3,859.73
  6. Step 6: Final answer
    x = 1,629.82

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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.