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Finding the Fourth Proportional to 3,472.54, 5,207.72 and 1,163.50

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Solution

The fourth proportional to 3,472.54, 5,207.72 and 1,163.50 is: 1,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.54 : 5,207.72 = 1,163.50 : x
  2. Step 2: Convert to fraction form
    3,472.54/5,207.72 = 1,163.50/x
  3. Step 3: Cross multiply
    3,472.54x = 5,207.72 × 1,163.50
  4. Step 4: Simplify right side
    3,472.54x = 6,059,182.22
  5. Step 5: Solve for x
    x = 6,059,182.22/3,472.54
  6. Step 6: Final answer
    x = 1,744.88

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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.