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Finding the Fourth Proportional to 4,847.82, 6,682.23 and 3,273.18

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Solution

The fourth proportional to 4,847.82, 6,682.23 and 3,273.18 is: 4,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.82 : 6,682.23 = 3,273.18 : x
  2. Step 2: Convert to fraction form
    4,847.82/6,682.23 = 3,273.18/x
  3. Step 3: Cross multiply
    4,847.82x = 6,682.23 × 3,273.18
  4. Step 4: Simplify right side
    4,847.82x = 21,872,141.59
  5. Step 5: Solve for x
    x = 21,872,141.59/4,847.82
  6. Step 6: Final answer
    x = 4,511.75

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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.