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Finding the Fourth Proportional to 3,847.08, 5,768.18 and 1,999.06

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Solution

The fourth proportional to 3,847.08, 5,768.18 and 1,999.06 is: 2,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.08 : 5,768.18 = 1,999.06 : x
  2. Step 2: Convert to fraction form
    3,847.08/5,768.18 = 1,999.06/x
  3. Step 3: Cross multiply
    3,847.08x = 5,768.18 × 1,999.06
  4. Step 4: Simplify right side
    3,847.08x = 11,530,937.91
  5. Step 5: Solve for x
    x = 11,530,937.91/3,847.08
  6. Step 6: Final answer
    x = 2,997.32

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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.