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Finding the Fourth Proportional to 3,442.56, 5,163.84 and 1,251.30

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Solution

The fourth proportional to 3,442.56, 5,163.84 and 1,251.30 is: 1,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.56 : 5,163.84 = 1,251.30 : x
  2. Step 2: Convert to fraction form
    3,442.56/5,163.84 = 1,251.30/x
  3. Step 3: Cross multiply
    3,442.56x = 5,163.84 × 1,251.30
  4. Step 4: Simplify right side
    3,442.56x = 6,461,512.99
  5. Step 5: Solve for x
    x = 6,461,512.99/3,442.56
  6. Step 6: Final answer
    x = 1,876.95

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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.