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Finding the Fourth Proportional to 3,216.92, 4,439.16 and 2,099.96

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Solution

The fourth proportional to 3,216.92, 4,439.16 and 2,099.96 is: 2,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.92 : 4,439.16 = 2,099.96 : x
  2. Step 2: Convert to fraction form
    3,216.92/4,439.16 = 2,099.96/x
  3. Step 3: Cross multiply
    3,216.92x = 4,439.16 × 2,099.96
  4. Step 4: Simplify right side
    3,216.92x = 9,322,058.43
  5. Step 5: Solve for x
    x = 9,322,058.43/3,216.92
  6. Step 6: Final answer
    x = 2,897.82

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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.