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Finding the Fourth Proportional to 4,230.01, 6,331.24 and 3,825.82

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Solution

The fourth proportional to 4,230.01, 6,331.24 and 3,825.82 is: 5,726.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.01 : 6,331.24 = 3,825.82 : x
  2. Step 2: Convert to fraction form
    4,230.01/6,331.24 = 3,825.82/x
  3. Step 3: Cross multiply
    4,230.01x = 6,331.24 × 3,825.82
  4. Step 4: Simplify right side
    4,230.01x = 24,222,184.62
  5. Step 5: Solve for x
    x = 24,222,184.62/4,230.01
  6. Step 6: Final answer
    x = 5,726.27

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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.