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Finding the Fourth Proportional to 3,912.69, 5,838.70 and 3,497.25

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Solution

The fourth proportional to 3,912.69, 5,838.70 and 3,497.25 is: 5,218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.69 : 5,838.70 = 3,497.25 : x
  2. Step 2: Convert to fraction form
    3,912.69/5,838.70 = 3,497.25/x
  3. Step 3: Cross multiply
    3,912.69x = 5,838.70 × 3,497.25
  4. Step 4: Simplify right side
    3,912.69x = 20,419,384.83
  5. Step 5: Solve for x
    x = 20,419,384.83/3,912.69
  6. Step 6: Final answer
    x = 5,218.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.