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Finding the Fourth Proportional to 5,942.64, 8,200.90 and 3,290.09

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Solution

The fourth proportional to 5,942.64, 8,200.90 and 3,290.09 is: 4,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.64 : 8,200.90 = 3,290.09 : x
  2. Step 2: Convert to fraction form
    5,942.64/8,200.90 = 3,290.09/x
  3. Step 3: Cross multiply
    5,942.64x = 8,200.90 × 3,290.09
  4. Step 4: Simplify right side
    5,942.64x = 26,981,658.08
  5. Step 5: Solve for x
    x = 26,981,658.08/5,942.64
  6. Step 6: Final answer
    x = 4,540.35

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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.