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Finding the Fourth Proportional to 5,838.62, 8,057.22 and 3,185.97

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Solution

The fourth proportional to 5,838.62, 8,057.22 and 3,185.97 is: 4,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.62 : 8,057.22 = 3,185.97 : x
  2. Step 2: Convert to fraction form
    5,838.62/8,057.22 = 3,185.97/x
  3. Step 3: Cross multiply
    5,838.62x = 8,057.22 × 3,185.97
  4. Step 4: Simplify right side
    5,838.62x = 25,670,061.20
  5. Step 5: Solve for x
    x = 25,670,061.20/5,838.62
  6. Step 6: Final answer
    x = 4,396.60

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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.