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Finding the Fourth Proportional to 3,474.12, 4,791.05 and 2,213.87

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Solution

The fourth proportional to 3,474.12, 4,791.05 and 2,213.87 is: 3,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.12 : 4,791.05 = 2,213.87 : x
  2. Step 2: Convert to fraction form
    3,474.12/4,791.05 = 2,213.87/x
  3. Step 3: Cross multiply
    3,474.12x = 4,791.05 × 2,213.87
  4. Step 4: Simplify right side
    3,474.12x = 10,606,735.14
  5. Step 5: Solve for x
    x = 10,606,735.14/3,474.12
  6. Step 6: Final answer
    x = 3,053.07

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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.