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Finding the Fourth Proportional to 3,809.73, 5,257.31 and 2,131.34

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Solution

The fourth proportional to 3,809.73, 5,257.31 and 2,131.34 is: 2,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.73 : 5,257.31 = 2,131.34 : x
  2. Step 2: Convert to fraction form
    3,809.73/5,257.31 = 2,131.34/x
  3. Step 3: Cross multiply
    3,809.73x = 5,257.31 × 2,131.34
  4. Step 4: Simplify right side
    3,809.73x = 11,205,092.94
  5. Step 5: Solve for x
    x = 11,205,092.94/3,809.73
  6. Step 6: Final answer
    x = 2,941.17

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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.