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Finding the Fourth Proportional to 5,511.44, 8,269.92 and 2,738

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Solution

The fourth proportional to 5,511.44, 8,269.92 and 2,738 is: 4,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.44 : 8,269.92 = 2,738 : x
  2. Step 2: Convert to fraction form
    5,511.44/8,269.92 = 2,738/x
  3. Step 3: Cross multiply
    5,511.44x = 8,269.92 × 2,738
  4. Step 4: Simplify right side
    5,511.44x = 22,643,040.96
  5. Step 5: Solve for x
    x = 22,643,040.96/5,511.44
  6. Step 6: Final answer
    x = 4,108.37

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