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Finding the Fourth Proportional to 3,734.39, 5,154.09 and 2,163.44

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Solution

The fourth proportional to 3,734.39, 5,154.09 and 2,163.44 is: 2,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.39 : 5,154.09 = 2,163.44 : x
  2. Step 2: Convert to fraction form
    3,734.39/5,154.09 = 2,163.44/x
  3. Step 3: Cross multiply
    3,734.39x = 5,154.09 × 2,163.44
  4. Step 4: Simplify right side
    3,734.39x = 11,150,564.47
  5. Step 5: Solve for x
    x = 11,150,564.47/3,734.39
  6. Step 6: Final answer
    x = 2,985.91

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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.