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Finding the Fourth Proportional to 3,474.49, 5,211.75 and 1,282.33

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Solution

The fourth proportional to 3,474.49, 5,211.75 and 1,282.33 is: 1,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.49 : 5,211.75 = 1,282.33 : x
  2. Step 2: Convert to fraction form
    3,474.49/5,211.75 = 1,282.33/x
  3. Step 3: Cross multiply
    3,474.49x = 5,211.75 × 1,282.33
  4. Step 4: Simplify right side
    3,474.49x = 6,683,183.38
  5. Step 5: Solve for x
    x = 6,683,183.38/3,474.49
  6. Step 6: Final answer
    x = 1,923.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.