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Finding the Fourth Proportional to 4,489.32, 6,198.22 and 2,896.68

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Solution

The fourth proportional to 4,489.32, 6,198.22 and 2,896.68 is: 3,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.32 : 6,198.22 = 2,896.68 : x
  2. Step 2: Convert to fraction form
    4,489.32/6,198.22 = 2,896.68/x
  3. Step 3: Cross multiply
    4,489.32x = 6,198.22 × 2,896.68
  4. Step 4: Simplify right side
    4,489.32x = 17,954,259.91
  5. Step 5: Solve for x
    x = 17,954,259.91/4,489.32
  6. Step 6: Final answer
    x = 3,999.33

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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.