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Finding the Fourth Proportional to 4,199.78, 5,796.01 and 2,311.44

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Solution

The fourth proportional to 4,199.78, 5,796.01 and 2,311.44 is: 3,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.78 : 5,796.01 = 2,311.44 : x
  2. Step 2: Convert to fraction form
    4,199.78/5,796.01 = 2,311.44/x
  3. Step 3: Cross multiply
    4,199.78x = 5,796.01 × 2,311.44
  4. Step 4: Simplify right side
    4,199.78x = 13,397,134.18
  5. Step 5: Solve for x
    x = 13,397,134.18/4,199.78
  6. Step 6: Final answer
    x = 3,189.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.