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Finding the Fourth Proportional to 4,196.76, 5,791.49 and 2,282.62

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Solution

The fourth proportional to 4,196.76, 5,791.49 and 2,282.62 is: 3,149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.76 : 5,791.49 = 2,282.62 : x
  2. Step 2: Convert to fraction form
    4,196.76/5,791.49 = 2,282.62/x
  3. Step 3: Cross multiply
    4,196.76x = 5,791.49 × 2,282.62
  4. Step 4: Simplify right side
    4,196.76x = 13,219,770.90
  5. Step 5: Solve for x
    x = 13,219,770.90/4,196.76
  6. Step 6: Final answer
    x = 3,149.99

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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.