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Finding the Fourth Proportional to 3,859.56, 5,789.68 and 1,086.26

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Solution

The fourth proportional to 3,859.56, 5,789.68 and 1,086.26 is: 1,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.56 : 5,789.68 = 1,086.26 : x
  2. Step 2: Convert to fraction form
    3,859.56/5,789.68 = 1,086.26/x
  3. Step 3: Cross multiply
    3,859.56x = 5,789.68 × 1,086.26
  4. Step 4: Simplify right side
    3,859.56x = 6,289,066.13
  5. Step 5: Solve for x
    x = 6,289,066.13/3,859.56
  6. Step 6: Final answer
    x = 1,629.48

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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.