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Finding the Fourth Proportional to 3,932.92, 5,901.72 and 1,469.48

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Solution

The fourth proportional to 3,932.92, 5,901.72 and 1,469.48 is: 2,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.92 : 5,901.72 = 1,469.48 : x
  2. Step 2: Convert to fraction form
    3,932.92/5,901.72 = 1,469.48/x
  3. Step 3: Cross multiply
    3,932.92x = 5,901.72 × 1,469.48
  4. Step 4: Simplify right side
    3,932.92x = 8,672,459.51
  5. Step 5: Solve for x
    x = 8,672,459.51/3,932.92
  6. Step 6: Final answer
    x = 2,205.09

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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.