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Finding the Fourth Proportional to 5,942.76, 8,202.83 and 3,426.55

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Solution

The fourth proportional to 5,942.76, 8,202.83 and 3,426.55 is: 4,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.76 : 8,202.83 = 3,426.55 : x
  2. Step 2: Convert to fraction form
    5,942.76/8,202.83 = 3,426.55/x
  3. Step 3: Cross multiply
    5,942.76x = 8,202.83 × 3,426.55
  4. Step 4: Simplify right side
    5,942.76x = 28,107,407.14
  5. Step 5: Solve for x
    x = 28,107,407.14/5,942.76
  6. Step 6: Final answer
    x = 4,729.69

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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.