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Finding the Fourth Proportional to 3,439.31, 5,158.71 and 1,099.22

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Solution

The fourth proportional to 3,439.31, 5,158.71 and 1,099.22 is: 1,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.31 : 5,158.71 = 1,099.22 : x
  2. Step 2: Convert to fraction form
    3,439.31/5,158.71 = 1,099.22/x
  3. Step 3: Cross multiply
    3,439.31x = 5,158.71 × 1,099.22
  4. Step 4: Simplify right side
    3,439.31x = 5,670,557.21
  5. Step 5: Solve for x
    x = 5,670,557.21/3,439.31
  6. Step 6: Final answer
    x = 1,648.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.