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Finding the Fourth Proportional to 4,969.96, 6,866.31 and 4,231.78

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Solution

The fourth proportional to 4,969.96, 6,866.31 and 4,231.78 is: 5,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.96 : 6,866.31 = 4,231.78 : x
  2. Step 2: Convert to fraction form
    4,969.96/6,866.31 = 4,231.78/x
  3. Step 3: Cross multiply
    4,969.96x = 6,866.31 × 4,231.78
  4. Step 4: Simplify right side
    4,969.96x = 29,056,713.33
  5. Step 5: Solve for x
    x = 29,056,713.33/4,969.96
  6. Step 6: Final answer
    x = 5,846.47

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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.