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Finding the Fourth Proportional to 3,993.96, 5,991.12 and 1,220.43

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Solution

The fourth proportional to 3,993.96, 5,991.12 and 1,220.43 is: 1,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.96 : 5,991.12 = 1,220.43 : x
  2. Step 2: Convert to fraction form
    3,993.96/5,991.12 = 1,220.43/x
  3. Step 3: Cross multiply
    3,993.96x = 5,991.12 × 1,220.43
  4. Step 4: Simplify right side
    3,993.96x = 7,311,742.58
  5. Step 5: Solve for x
    x = 7,311,742.58/3,993.96
  6. Step 6: Final answer
    x = 1,830.70

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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.