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Finding the Fourth Proportional to 3,468.26, 5,201.02 and 2,008.44

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Solution

The fourth proportional to 3,468.26, 5,201.02 and 2,008.44 is: 3,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.26 : 5,201.02 = 2,008.44 : x
  2. Step 2: Convert to fraction form
    3,468.26/5,201.02 = 2,008.44/x
  3. Step 3: Cross multiply
    3,468.26x = 5,201.02 × 2,008.44
  4. Step 4: Simplify right side
    3,468.26x = 10,445,936.61
  5. Step 5: Solve for x
    x = 10,445,936.61/3,468.26
  6. Step 6: Final answer
    x = 3,011.87

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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.