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Finding the Fourth Proportional to 4,067.46, 5,613.07 and 2,299.07

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Solution

The fourth proportional to 4,067.46, 5,613.07 and 2,299.07 is: 3,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.46 : 5,613.07 = 2,299.07 : x
  2. Step 2: Convert to fraction form
    4,067.46/5,613.07 = 2,299.07/x
  3. Step 3: Cross multiply
    4,067.46x = 5,613.07 × 2,299.07
  4. Step 4: Simplify right side
    4,067.46x = 12,904,812.78
  5. Step 5: Solve for x
    x = 12,904,812.78/4,067.46
  6. Step 6: Final answer
    x = 3,172.69

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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.