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Finding the Fourth Proportional to 5,295.22, 7,942.74 and 2,008.56

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Solution

The fourth proportional to 5,295.22, 7,942.74 and 2,008.56 is: 3,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.22 : 7,942.74 = 2,008.56 : x
  2. Step 2: Convert to fraction form
    5,295.22/7,942.74 = 2,008.56/x
  3. Step 3: Cross multiply
    5,295.22x = 7,942.74 × 2,008.56
  4. Step 4: Simplify right side
    5,295.22x = 15,953,469.85
  5. Step 5: Solve for x
    x = 15,953,469.85/5,295.22
  6. Step 6: Final answer
    x = 3,012.81

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1.5x scale

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.