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Finding the Fourth Proportional to 5,216.20, 7,199.49 and 3,447.97

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Solution

The fourth proportional to 5,216.20, 7,199.49 and 3,447.97 is: 4,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.20 : 7,199.49 = 3,447.97 : x
  2. Step 2: Convert to fraction form
    5,216.20/7,199.49 = 3,447.97/x
  3. Step 3: Cross multiply
    5,216.20x = 7,199.49 × 3,447.97
  4. Step 4: Simplify right side
    5,216.20x = 24,823,625.54
  5. Step 5: Solve for x
    x = 24,823,625.54/5,216.20
  6. Step 6: Final answer
    x = 4,758.95

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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.