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Finding the Fourth Proportional to 3,896.97, 5,377.74 and 2,128.59

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Solution

The fourth proportional to 3,896.97, 5,377.74 and 2,128.59 is: 2,937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.97 : 5,377.74 = 2,128.59 : x
  2. Step 2: Convert to fraction form
    3,896.97/5,377.74 = 2,128.59/x
  3. Step 3: Cross multiply
    3,896.97x = 5,377.74 × 2,128.59
  4. Step 4: Simplify right side
    3,896.97x = 11,447,003.59
  5. Step 5: Solve for x
    x = 11,447,003.59/3,896.97
  6. Step 6: Final answer
    x = 2,937.41

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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.