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Finding the Fourth Proportional to 5,576.78, 8,367 and 2,291.42

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Solution

The fourth proportional to 5,576.78, 8,367 and 2,291.42 is: 3,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.78 : 8,367 = 2,291.42 : x
  2. Step 2: Convert to fraction form
    5,576.78/8,367 = 2,291.42/x
  3. Step 3: Cross multiply
    5,576.78x = 8,367 × 2,291.42
  4. Step 4: Simplify right side
    5,576.78x = 19,172,311.14
  5. Step 5: Solve for x
    x = 19,172,311.14/5,576.78
  6. Step 6: Final answer
    x = 3,437.88

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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.