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Finding the Fourth Proportional to 3,771.58, 5,651.59 and 2,016.83

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Solution

The fourth proportional to 3,771.58, 5,651.59 and 2,016.83 is: 3,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.58 : 5,651.59 = 2,016.83 : x
  2. Step 2: Convert to fraction form
    3,771.58/5,651.59 = 2,016.83/x
  3. Step 3: Cross multiply
    3,771.58x = 5,651.59 × 2,016.83
  4. Step 4: Simplify right side
    3,771.58x = 11,398,262.96
  5. Step 5: Solve for x
    x = 11,398,262.96/3,771.58
  6. Step 6: Final answer
    x = 3,022.15

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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.