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Finding the Fourth Proportional to 4,182.44, 5,772.45 and 3,185.82

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Solution

The fourth proportional to 4,182.44, 5,772.45 and 3,185.82 is: 4,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.44 : 5,772.45 = 3,185.82 : x
  2. Step 2: Convert to fraction form
    4,182.44/5,772.45 = 3,185.82/x
  3. Step 3: Cross multiply
    4,182.44x = 5,772.45 × 3,185.82
  4. Step 4: Simplify right side
    4,182.44x = 18,389,986.66
  5. Step 5: Solve for x
    x = 18,389,986.66/4,182.44
  6. Step 6: Final answer
    x = 4,396.96

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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.