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Finding the Fourth Proportional to 3,438.92, 5,158.62 and 1,794.44

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Solution

The fourth proportional to 3,438.92, 5,158.62 and 1,794.44 is: 2,691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.92 : 5,158.62 = 1,794.44 : x
  2. Step 2: Convert to fraction form
    3,438.92/5,158.62 = 1,794.44/x
  3. Step 3: Cross multiply
    3,438.92x = 5,158.62 × 1,794.44
  4. Step 4: Simplify right side
    3,438.92x = 9,256,834.07
  5. Step 5: Solve for x
    x = 9,256,834.07/3,438.92
  6. Step 6: Final answer
    x = 2,691.79

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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.