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Finding the Fourth Proportional to 3,859.96, 5,789.90 and 1,086.63

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Solution

The fourth proportional to 3,859.96, 5,789.90 and 1,086.63 is: 1,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.96 : 5,789.90 = 1,086.63 : x
  2. Step 2: Convert to fraction form
    3,859.96/5,789.90 = 1,086.63/x
  3. Step 3: Cross multiply
    3,859.96x = 5,789.90 × 1,086.63
  4. Step 4: Simplify right side
    3,859.96x = 6,291,479.04
  5. Step 5: Solve for x
    x = 6,291,479.04/3,859.96
  6. Step 6: Final answer
    x = 1,629.93

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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.