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Finding the Fourth Proportional to 5,896.97, 8,134.43 and 3,685.13

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Solution

The fourth proportional to 5,896.97, 8,134.43 and 3,685.13 is: 5,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.97 : 8,134.43 = 3,685.13 : x
  2. Step 2: Convert to fraction form
    5,896.97/8,134.43 = 3,685.13/x
  3. Step 3: Cross multiply
    5,896.97x = 8,134.43 × 3,685.13
  4. Step 4: Simplify right side
    5,896.97x = 29,976,391.35
  5. Step 5: Solve for x
    x = 29,976,391.35/5,896.97
  6. Step 6: Final answer
    x = 5,083.36

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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.