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Finding the Fourth Proportional to 3,384.54, 5,077.85 and 1,163.43

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Solution

The fourth proportional to 3,384.54, 5,077.85 and 1,163.43 is: 1,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.54 : 5,077.85 = 1,163.43 : x
  2. Step 2: Convert to fraction form
    3,384.54/5,077.85 = 1,163.43/x
  3. Step 3: Cross multiply
    3,384.54x = 5,077.85 × 1,163.43
  4. Step 4: Simplify right side
    3,384.54x = 5,907,723.03
  5. Step 5: Solve for x
    x = 5,907,723.03/3,384.54
  6. Step 6: Final answer
    x = 1,745.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.