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Finding the Fourth Proportional to 3,896.56, 5,377.37 and 2,128.26

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Solution

The fourth proportional to 3,896.56, 5,377.37 and 2,128.26 is: 2,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.56 : 5,377.37 = 2,128.26 : x
  2. Step 2: Convert to fraction form
    3,896.56/5,377.37 = 2,128.26/x
  3. Step 3: Cross multiply
    3,896.56x = 5,377.37 × 2,128.26
  4. Step 4: Simplify right side
    3,896.56x = 11,444,441.48
  5. Step 5: Solve for x
    x = 11,444,441.48/3,896.56
  6. Step 6: Final answer
    x = 2,937.06

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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.