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Finding the Fourth Proportional to 5,795.27, 7,997.46 and 3,142.67

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Solution

The fourth proportional to 5,795.27, 7,997.46 and 3,142.67 is: 4,336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.27 : 7,997.46 = 3,142.67 : x
  2. Step 2: Convert to fraction form
    5,795.27/7,997.46 = 3,142.67/x
  3. Step 3: Cross multiply
    5,795.27x = 7,997.46 × 3,142.67
  4. Step 4: Simplify right side
    5,795.27x = 25,133,377.62
  5. Step 5: Solve for x
    x = 25,133,377.62/5,795.27
  6. Step 6: Final answer
    x = 4,336.88

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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.