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Finding the Fourth Proportional to 4,229.01, 6,329.75 and 3,824.82

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Solution

The fourth proportional to 4,229.01, 6,329.75 and 3,824.82 is: 5,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.01 : 6,329.75 = 3,824.82 : x
  2. Step 2: Convert to fraction form
    4,229.01/6,329.75 = 3,824.82/x
  3. Step 3: Cross multiply
    4,229.01x = 6,329.75 × 3,824.82
  4. Step 4: Simplify right side
    4,229.01x = 24,210,135.27
  5. Step 5: Solve for x
    x = 24,210,135.27/4,229.01
  6. Step 6: Final answer
    x = 5,724.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.