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Finding the Fourth Proportional to 3,896.91, 5,377.46 and 2,128.14

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Solution

The fourth proportional to 3,896.91, 5,377.46 and 2,128.14 is: 2,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.91 : 5,377.46 = 2,128.14 : x
  2. Step 2: Convert to fraction form
    3,896.91/5,377.46 = 2,128.14/x
  3. Step 3: Cross multiply
    3,896.91x = 5,377.46 × 2,128.14
  4. Step 4: Simplify right side
    3,896.91x = 11,443,977.08
  5. Step 5: Solve for x
    x = 11,443,977.08/3,896.91
  6. Step 6: Final answer
    x = 2,936.68

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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.