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Finding the Fourth Proportional to 5,163.60, 7,748.39 and 2,201.88

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Solution

The fourth proportional to 5,163.60, 7,748.39 and 2,201.88 is: 3,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.60 : 7,748.39 = 2,201.88 : x
  2. Step 2: Convert to fraction form
    5,163.60/7,748.39 = 2,201.88/x
  3. Step 3: Cross multiply
    5,163.60x = 7,748.39 × 2,201.88
  4. Step 4: Simplify right side
    5,163.60x = 17,061,059.53
  5. Step 5: Solve for x
    x = 17,061,059.53/5,163.60
  6. Step 6: Final answer
    x = 3,304.10

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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.