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Finding the Fourth Proportional to 4,229.82, 5,822.55 and 3,662.42

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Solution

The fourth proportional to 4,229.82, 5,822.55 and 3,662.42 is: 5,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.82 : 5,822.55 = 3,662.42 : x
  2. Step 2: Convert to fraction form
    4,229.82/5,822.55 = 3,662.42/x
  3. Step 3: Cross multiply
    4,229.82x = 5,822.55 × 3,662.42
  4. Step 4: Simplify right side
    4,229.82x = 21,324,594.46
  5. Step 5: Solve for x
    x = 21,324,594.46/4,229.82
  6. Step 6: Final answer
    x = 5,041.49

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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.