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Finding the Fourth Proportional to 3,216.84, 4,438.22 and 2,099.37

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Solution

The fourth proportional to 3,216.84, 4,438.22 and 2,099.37 is: 2,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.84 : 4,438.22 = 2,099.37 : x
  2. Step 2: Convert to fraction form
    3,216.84/4,438.22 = 2,099.37/x
  3. Step 3: Cross multiply
    3,216.84x = 4,438.22 × 2,099.37
  4. Step 4: Simplify right side
    3,216.84x = 9,317,465.92
  5. Step 5: Solve for x
    x = 9,317,465.92/3,216.84
  6. Step 6: Final answer
    x = 2,896.47

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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.