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Finding the Fourth Proportional to 3,200.92, 4,408.43 and 3,034.16

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Solution

The fourth proportional to 3,200.92, 4,408.43 and 3,034.16 is: 4,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.92 : 4,408.43 = 3,034.16 : x
  2. Step 2: Convert to fraction form
    3,200.92/4,408.43 = 3,034.16/x
  3. Step 3: Cross multiply
    3,200.92x = 4,408.43 × 3,034.16
  4. Step 4: Simplify right side
    3,200.92x = 13,375,861.29
  5. Step 5: Solve for x
    x = 13,375,861.29/3,200.92
  6. Step 6: Final answer
    x = 4,178.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.