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Finding the Fourth Proportional to 4,947.52, 6,832.21 and 3,182.20

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Solution

The fourth proportional to 4,947.52, 6,832.21 and 3,182.20 is: 4,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.52 : 6,832.21 = 3,182.20 : x
  2. Step 2: Convert to fraction form
    4,947.52/6,832.21 = 3,182.20/x
  3. Step 3: Cross multiply
    4,947.52x = 6,832.21 × 3,182.20
  4. Step 4: Simplify right side
    4,947.52x = 21,741,458.66
  5. Step 5: Solve for x
    x = 21,741,458.66/4,947.52
  6. Step 6: Final answer
    x = 4,394.42

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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.