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Finding the Fourth Proportional to 5,047.96, 6,964.26 and 3,724.82

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Solution

The fourth proportional to 5,047.96, 6,964.26 and 3,724.82 is: 5,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.96 : 6,964.26 = 3,724.82 : x
  2. Step 2: Convert to fraction form
    5,047.96/6,964.26 = 3,724.82/x
  3. Step 3: Cross multiply
    5,047.96x = 6,964.26 × 3,724.82
  4. Step 4: Simplify right side
    5,047.96x = 25,940,614.93
  5. Step 5: Solve for x
    x = 25,940,614.93/5,047.96
  6. Step 6: Final answer
    x = 5,138.83

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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.