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Finding the Fourth Proportional to 3,860.77, 5,790.46 and 1,086.78

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Solution

The fourth proportional to 3,860.77, 5,790.46 and 1,086.78 is: 1,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.77 : 5,790.46 = 1,086.78 : x
  2. Step 2: Convert to fraction form
    3,860.77/5,790.46 = 1,086.78/x
  3. Step 3: Cross multiply
    3,860.77x = 5,790.46 × 1,086.78
  4. Step 4: Simplify right side
    3,860.77x = 6,292,956.12
  5. Step 5: Solve for x
    x = 6,292,956.12/3,860.77
  6. Step 6: Final answer
    x = 1,629.97

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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.