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Finding the Fourth Proportional to 3,906.56, 5,391.09 and 2,511.74

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Solution

The fourth proportional to 3,906.56, 5,391.09 and 2,511.74 is: 3,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.56 : 5,391.09 = 2,511.74 : x
  2. Step 2: Convert to fraction form
    3,906.56/5,391.09 = 2,511.74/x
  3. Step 3: Cross multiply
    3,906.56x = 5,391.09 × 2,511.74
  4. Step 4: Simplify right side
    3,906.56x = 13,541,029.87
  5. Step 5: Solve for x
    x = 13,541,029.87/3,906.56
  6. Step 6: Final answer
    x = 3,466.23

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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.