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Finding the Fourth Proportional to 3,238.62, 4,467.72 and 1,911.42

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Solution

The fourth proportional to 3,238.62, 4,467.72 and 1,911.42 is: 2,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.62 : 4,467.72 = 1,911.42 : x
  2. Step 2: Convert to fraction form
    3,238.62/4,467.72 = 1,911.42/x
  3. Step 3: Cross multiply
    3,238.62x = 4,467.72 × 1,911.42
  4. Step 4: Simplify right side
    3,238.62x = 8,539,689.36
  5. Step 5: Solve for x
    x = 8,539,689.36/3,238.62
  6. Step 6: Final answer
    x = 2,636.83

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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.