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Finding the Fourth Proportional to 3,512.54, 5,269.72 and 1,663.61

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Solution

The fourth proportional to 3,512.54, 5,269.72 and 1,663.61 is: 2,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.54 : 5,269.72 = 1,663.61 : x
  2. Step 2: Convert to fraction form
    3,512.54/5,269.72 = 1,663.61/x
  3. Step 3: Cross multiply
    3,512.54x = 5,269.72 × 1,663.61
  4. Step 4: Simplify right side
    3,512.54x = 8,766,758.89
  5. Step 5: Solve for x
    x = 8,766,758.89/3,512.54
  6. Step 6: Final answer
    x = 2,495.85

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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.