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Finding the Fourth Proportional to 3,911.40, 5,396.41 and 2,231.63

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Solution

The fourth proportional to 3,911.40, 5,396.41 and 2,231.63 is: 3,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.40 : 5,396.41 = 2,231.63 : x
  2. Step 2: Convert to fraction form
    3,911.40/5,396.41 = 2,231.63/x
  3. Step 3: Cross multiply
    3,911.40x = 5,396.41 × 2,231.63
  4. Step 4: Simplify right side
    3,911.40x = 12,042,752.31
  5. Step 5: Solve for x
    x = 12,042,752.31/3,911.40
  6. Step 6: Final answer
    x = 3,078.89

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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.