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Finding the Fourth Proportional to 3,999.12, 5,993.10 and 2,047.20

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Solution

The fourth proportional to 3,999.12, 5,993.10 and 2,047.20 is: 3,067.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.12 : 5,993.10 = 2,047.20 : x
  2. Step 2: Convert to fraction form
    3,999.12/5,993.10 = 2,047.20/x
  3. Step 3: Cross multiply
    3,999.12x = 5,993.10 × 2,047.20
  4. Step 4: Simplify right side
    3,999.12x = 12,269,074.32
  5. Step 5: Solve for x
    x = 12,269,074.32/3,999.12
  6. Step 6: Final answer
    x = 3,067.94

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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.