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Finding the Fourth Proportional to 3,896.33, 5,376.49 and 2,194.51

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Solution

The fourth proportional to 3,896.33, 5,376.49 and 2,194.51 is: 3,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.33 : 5,376.49 = 2,194.51 : x
  2. Step 2: Convert to fraction form
    3,896.33/5,376.49 = 2,194.51/x
  3. Step 3: Cross multiply
    3,896.33x = 5,376.49 × 2,194.51
  4. Step 4: Simplify right side
    3,896.33x = 11,798,764.57
  5. Step 5: Solve for x
    x = 11,798,764.57/3,896.33
  6. Step 6: Final answer
    x = 3,028.18

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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.