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Finding the Fourth Proportional to 3,434.44, 5,147.34 and 2,462.44

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Solution

The fourth proportional to 3,434.44, 5,147.34 and 2,462.44 is: 3,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.44 : 5,147.34 = 2,462.44 : x
  2. Step 2: Convert to fraction form
    3,434.44/5,147.34 = 2,462.44/x
  3. Step 3: Cross multiply
    3,434.44x = 5,147.34 × 2,462.44
  4. Step 4: Simplify right side
    3,434.44x = 12,675,015.91
  5. Step 5: Solve for x
    x = 12,675,015.91/3,434.44
  6. Step 6: Final answer
    x = 3,690.56

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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.