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Finding the Fourth Proportional to 7,634.46, 11,452.92 and 3,739.17

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Solution

The fourth proportional to 7,634.46, 11,452.92 and 3,739.17 is: 5,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.46 : 11,452.92 = 3,739.17 : x
  2. Step 2: Convert to fraction form
    7,634.46/11,452.92 = 3,739.17/x
  3. Step 3: Cross multiply
    7,634.46x = 11,452.92 × 3,739.17
  4. Step 4: Simplify right side
    7,634.46x = 42,824,414.88
  5. Step 5: Solve for x
    x = 42,824,414.88/7,634.46
  6. Step 6: Final answer
    x = 5,609.36

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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.