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Finding the Fourth Proportional to 3,855.44, 5,770.64 and 2,003.92

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Solution

The fourth proportional to 3,855.44, 5,770.64 and 2,003.92 is: 2,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.44 : 5,770.64 = 2,003.92 : x
  2. Step 2: Convert to fraction form
    3,855.44/5,770.64 = 2,003.92/x
  3. Step 3: Cross multiply
    3,855.44x = 5,770.64 × 2,003.92
  4. Step 4: Simplify right side
    3,855.44x = 11,563,900.91
  5. Step 5: Solve for x
    x = 11,563,900.91/3,855.44
  6. Step 6: Final answer
    x = 2,999.37

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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.