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Finding the Fourth Proportional to 4,217.99, 5,822.18 and 2,449.25

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Solution

The fourth proportional to 4,217.99, 5,822.18 and 2,449.25 is: 3,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.99 : 5,822.18 = 2,449.25 : x
  2. Step 2: Convert to fraction form
    4,217.99/5,822.18 = 2,449.25/x
  3. Step 3: Cross multiply
    4,217.99x = 5,822.18 × 2,449.25
  4. Step 4: Simplify right side
    4,217.99x = 14,259,974.37
  5. Step 5: Solve for x
    x = 14,259,974.37/4,217.99
  6. Step 6: Final answer
    x = 3,380.75

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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.