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Finding the Fourth Proportional to 5,212.69, 7,193.53 and 2,974.54

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Solution

The fourth proportional to 5,212.69, 7,193.53 and 2,974.54 is: 4,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.69 : 7,193.53 = 2,974.54 : x
  2. Step 2: Convert to fraction form
    5,212.69/7,193.53 = 2,974.54/x
  3. Step 3: Cross multiply
    5,212.69x = 7,193.53 × 2,974.54
  4. Step 4: Simplify right side
    5,212.69x = 21,397,450.31
  5. Step 5: Solve for x
    x = 21,397,450.31/5,212.69
  6. Step 6: Final answer
    x = 4,104.88

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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.