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Finding the Fourth Proportional to 5,857.52, 8,082.99 and 3,205.17

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Solution

The fourth proportional to 5,857.52, 8,082.99 and 3,205.17 is: 4,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.52 : 8,082.99 = 3,205.17 : x
  2. Step 2: Convert to fraction form
    5,857.52/8,082.99 = 3,205.17/x
  3. Step 3: Cross multiply
    5,857.52x = 8,082.99 × 3,205.17
  4. Step 4: Simplify right side
    5,857.52x = 25,907,357.06
  5. Step 5: Solve for x
    x = 25,907,357.06/5,857.52
  6. Step 6: Final answer
    x = 4,422.93

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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.