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Finding the Fourth Proportional to 3,512.92, 5,270.67 and 1,662.64

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Solution

The fourth proportional to 3,512.92, 5,270.67 and 1,662.64 is: 2,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.92 : 5,270.67 = 1,662.64 : x
  2. Step 2: Convert to fraction form
    3,512.92/5,270.67 = 1,662.64/x
  3. Step 3: Cross multiply
    3,512.92x = 5,270.67 × 1,662.64
  4. Step 4: Simplify right side
    3,512.92x = 8,763,226.77
  5. Step 5: Solve for x
    x = 8,763,226.77/3,512.92
  6. Step 6: Final answer
    x = 2,494.57

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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.