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Finding the Fourth Proportional to 5,738.31, 8,608.22 and 2,452.16

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Solution

The fourth proportional to 5,738.31, 8,608.22 and 2,452.16 is: 3,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.31 : 8,608.22 = 2,452.16 : x
  2. Step 2: Convert to fraction form
    5,738.31/8,608.22 = 2,452.16/x
  3. Step 3: Cross multiply
    5,738.31x = 8,608.22 × 2,452.16
  4. Step 4: Simplify right side
    5,738.31x = 21,108,716.58
  5. Step 5: Solve for x
    x = 21,108,716.58/5,738.31
  6. Step 6: Final answer
    x = 3,678.56

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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.