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Finding the Fourth Proportional to 3,752.44, 5,178.37 and 2,096.44

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Solution

The fourth proportional to 3,752.44, 5,178.37 and 2,096.44 is: 2,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.44 : 5,178.37 = 2,096.44 : x
  2. Step 2: Convert to fraction form
    3,752.44/5,178.37 = 2,096.44/x
  3. Step 3: Cross multiply
    3,752.44x = 5,178.37 × 2,096.44
  4. Step 4: Simplify right side
    3,752.44x = 10,856,142.00
  5. Step 5: Solve for x
    x = 10,856,142.00/3,752.44
  6. Step 6: Final answer
    x = 2,893.09

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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.