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Finding the Fourth Proportional to 3,996.42, 5,997.77 and 2,772.45

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Solution

The fourth proportional to 3,996.42, 5,997.77 and 2,772.45 is: 4,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.42 : 5,997.77 = 2,772.45 : x
  2. Step 2: Convert to fraction form
    3,996.42/5,997.77 = 2,772.45/x
  3. Step 3: Cross multiply
    3,996.42x = 5,997.77 × 2,772.45
  4. Step 4: Simplify right side
    3,996.42x = 16,628,494.38
  5. Step 5: Solve for x
    x = 16,628,494.38/3,996.42
  6. Step 6: Final answer
    x = 4,160.84

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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.