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Finding the Fourth Proportional to 3,896.71, 5,377.49 and 2,128.36

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Solution

The fourth proportional to 3,896.71, 5,377.49 and 2,128.36 is: 2,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.71 : 5,377.49 = 2,128.36 : x
  2. Step 2: Convert to fraction form
    3,896.71/5,377.49 = 2,128.36/x
  3. Step 3: Cross multiply
    3,896.71x = 5,377.49 × 2,128.36
  4. Step 4: Simplify right side
    3,896.71x = 11,445,210.53
  5. Step 5: Solve for x
    x = 11,445,210.53/3,896.71
  6. Step 6: Final answer
    x = 2,937.15

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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.