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Finding the Fourth Proportional to 3,997.90, 5,996.82 and 2,245.42

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Solution

The fourth proportional to 3,997.90, 5,996.82 and 2,245.42 is: 3,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.90 : 5,996.82 = 2,245.42 : x
  2. Step 2: Convert to fraction form
    3,997.90/5,996.82 = 2,245.42/x
  3. Step 3: Cross multiply
    3,997.90x = 5,996.82 × 2,245.42
  4. Step 4: Simplify right side
    3,997.90x = 13,465,379.56
  5. Step 5: Solve for x
    x = 13,465,379.56/3,997.90
  6. Step 6: Final answer
    x = 3,368.11

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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.