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Finding the Fourth Proportional to 4,896.38, 6,755.32 and 2,771.66

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Solution

The fourth proportional to 4,896.38, 6,755.32 and 2,771.66 is: 3,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.38 : 6,755.32 = 2,771.66 : x
  2. Step 2: Convert to fraction form
    4,896.38/6,755.32 = 2,771.66/x
  3. Step 3: Cross multiply
    4,896.38x = 6,755.32 × 2,771.66
  4. Step 4: Simplify right side
    4,896.38x = 18,723,450.23
  5. Step 5: Solve for x
    x = 18,723,450.23/4,896.38
  6. Step 6: Final answer
    x = 3,823.94

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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.