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Finding the Fourth Proportional to 3,447.45, 5,171.13 and 850.37

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Solution

The fourth proportional to 3,447.45, 5,171.13 and 850.37 is: 1,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.45 : 5,171.13 = 850.37 : x
  2. Step 2: Convert to fraction form
    3,447.45/5,171.13 = 850.37/x
  3. Step 3: Cross multiply
    3,447.45x = 5,171.13 × 850.37
  4. Step 4: Simplify right side
    3,447.45x = 4,397,347.96
  5. Step 5: Solve for x
    x = 4,397,347.96/3,447.45
  6. Step 6: Final answer
    x = 1,275.54

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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.