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Finding the Fourth Proportional to 3,489.75, 5,230.37 and 1,638.41

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Solution

The fourth proportional to 3,489.75, 5,230.37 and 1,638.41 is: 2,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.75 : 5,230.37 = 1,638.41 : x
  2. Step 2: Convert to fraction form
    3,489.75/5,230.37 = 1,638.41/x
  3. Step 3: Cross multiply
    3,489.75x = 5,230.37 × 1,638.41
  4. Step 4: Simplify right side
    3,489.75x = 8,569,468.46
  5. Step 5: Solve for x
    x = 8,569,468.46/3,489.75
  6. Step 6: Final answer
    x = 2,455.61

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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.