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Finding the Fourth Proportional to 5,838.42, 8,057.12 and 3,185.92

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Solution

The fourth proportional to 5,838.42, 8,057.12 and 3,185.92 is: 4,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.42 : 8,057.12 = 3,185.92 : x
  2. Step 2: Convert to fraction form
    5,838.42/8,057.12 = 3,185.92/x
  3. Step 3: Cross multiply
    5,838.42x = 8,057.12 × 3,185.92
  4. Step 4: Simplify right side
    5,838.42x = 25,669,339.75
  5. Step 5: Solve for x
    x = 25,669,339.75/5,838.42
  6. Step 6: Final answer
    x = 4,396.62

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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.