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Finding the Fourth Proportional to 6,576.26, 9,074.99 and 3,743.42

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Solution

The fourth proportional to 6,576.26, 9,074.99 and 3,743.42 is: 5,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.26 : 9,074.99 = 3,743.42 : x
  2. Step 2: Convert to fraction form
    6,576.26/9,074.99 = 3,743.42/x
  3. Step 3: Cross multiply
    6,576.26x = 9,074.99 × 3,743.42
  4. Step 4: Simplify right side
    6,576.26x = 33,971,463.05
  5. Step 5: Solve for x
    x = 33,971,463.05/6,576.26
  6. Step 6: Final answer
    x = 5,165.78

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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.