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Finding the Fourth Proportional to 3,896.57, 5,377.28 and 2,128.29

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Solution

The fourth proportional to 3,896.57, 5,377.28 and 2,128.29 is: 2,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.57 : 5,377.28 = 2,128.29 : x
  2. Step 2: Convert to fraction form
    3,896.57/5,377.28 = 2,128.29/x
  3. Step 3: Cross multiply
    3,896.57x = 5,377.28 × 2,128.29
  4. Step 4: Simplify right side
    3,896.57x = 11,444,411.25
  5. Step 5: Solve for x
    x = 11,444,411.25/3,896.57
  6. Step 6: Final answer
    x = 2,937.05

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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.