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Finding the Fourth Proportional to 5,452, 7,523.92 and 2,968.16

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Solution

The fourth proportional to 5,452, 7,523.92 and 2,968.16 is: 4,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452 : 7,523.92 = 2,968.16 : x
  2. Step 2: Convert to fraction form
    5,452/7,523.92 = 2,968.16/x
  3. Step 3: Cross multiply
    5,452x = 7,523.92 × 2,968.16
  4. Step 4: Simplify right side
    5,452x = 22,332,198.39
  5. Step 5: Solve for x
    x = 22,332,198.39/5,452
  6. Step 6: Final answer
    x = 4,096.15

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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.