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Finding the Fourth Proportional to 5,415.24, 7,471.75 and 3,290.73

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Solution

The fourth proportional to 5,415.24, 7,471.75 and 3,290.73 is: 4,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.24 : 7,471.75 = 3,290.73 : x
  2. Step 2: Convert to fraction form
    5,415.24/7,471.75 = 3,290.73/x
  3. Step 3: Cross multiply
    5,415.24x = 7,471.75 × 3,290.73
  4. Step 4: Simplify right side
    5,415.24x = 24,587,511.88
  5. Step 5: Solve for x
    x = 24,587,511.88/5,415.24
  6. Step 6: Final answer
    x = 4,540.43

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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.