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Finding the Fourth Proportional to 3,961.38, 5,466.79 and 2,369.67

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Solution

The fourth proportional to 3,961.38, 5,466.79 and 2,369.67 is: 3,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.38 : 5,466.79 = 2,369.67 : x
  2. Step 2: Convert to fraction form
    3,961.38/5,466.79 = 2,369.67/x
  3. Step 3: Cross multiply
    3,961.38x = 5,466.79 × 2,369.67
  4. Step 4: Simplify right side
    3,961.38x = 12,954,476.41
  5. Step 5: Solve for x
    x = 12,954,476.41/3,961.38
  6. Step 6: Final answer
    x = 3,270.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.