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Finding the Fourth Proportional to 4,847.67, 6,689.79 and 3,171.92

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Solution

The fourth proportional to 4,847.67, 6,689.79 and 3,171.92 is: 4,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.67 : 6,689.79 = 3,171.92 : x
  2. Step 2: Convert to fraction form
    4,847.67/6,689.79 = 3,171.92/x
  3. Step 3: Cross multiply
    4,847.67x = 6,689.79 × 3,171.92
  4. Step 4: Simplify right side
    4,847.67x = 21,219,445.25
  5. Step 5: Solve for x
    x = 21,219,445.25/4,847.67
  6. Step 6: Final answer
    x = 4,377.25

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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.