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Finding the Fourth Proportional to 3,896.37, 5,377.05 and 2,128.14

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Solution

The fourth proportional to 3,896.37, 5,377.05 and 2,128.14 is: 2,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.37 : 5,377.05 = 2,128.14 : x
  2. Step 2: Convert to fraction form
    3,896.37/5,377.05 = 2,128.14/x
  3. Step 3: Cross multiply
    3,896.37x = 5,377.05 × 2,128.14
  4. Step 4: Simplify right side
    3,896.37x = 11,443,115.19
  5. Step 5: Solve for x
    x = 11,443,115.19/3,896.37
  6. Step 6: Final answer
    x = 2,936.87

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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.