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Finding the Fourth Proportional to 3,999.10, 5,993.85 and 2,050.30

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Solution

The fourth proportional to 3,999.10, 5,993.85 and 2,050.30 is: 3,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.10 : 5,993.85 = 2,050.30 : x
  2. Step 2: Convert to fraction form
    3,999.10/5,993.85 = 2,050.30/x
  3. Step 3: Cross multiply
    3,999.10x = 5,993.85 × 2,050.30
  4. Step 4: Simplify right side
    3,999.10x = 12,289,190.66
  5. Step 5: Solve for x
    x = 12,289,190.66/3,999.10
  6. Step 6: Final answer
    x = 3,072.99

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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.