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Finding the Fourth Proportional to 3,402.52, 5,104.46 and 1,093.48

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Solution

The fourth proportional to 3,402.52, 5,104.46 and 1,093.48 is: 1,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.52 : 5,104.46 = 1,093.48 : x
  2. Step 2: Convert to fraction form
    3,402.52/5,104.46 = 1,093.48/x
  3. Step 3: Cross multiply
    3,402.52x = 5,104.46 × 1,093.48
  4. Step 4: Simplify right side
    3,402.52x = 5,581,624.92
  5. Step 5: Solve for x
    x = 5,581,624.92/3,402.52
  6. Step 6: Final answer
    x = 1,640.44

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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.