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Finding the Fourth Proportional to 5,511.76, 7,605.76 and 3,273.44

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Solution

The fourth proportional to 5,511.76, 7,605.76 and 3,273.44 is: 4,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.76 : 7,605.76 = 3,273.44 : x
  2. Step 2: Convert to fraction form
    5,511.76/7,605.76 = 3,273.44/x
  3. Step 3: Cross multiply
    5,511.76x = 7,605.76 × 3,273.44
  4. Step 4: Simplify right side
    5,511.76x = 24,896,999.01
  5. Step 5: Solve for x
    x = 24,896,999.01/5,511.76
  6. Step 6: Final answer
    x = 4,517.07

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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.