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Finding the Fourth Proportional to 6,578.22, 9,869.17 and 3,658.58

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Solution

The fourth proportional to 6,578.22, 9,869.17 and 3,658.58 is: 5,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.22 : 9,869.17 = 3,658.58 : x
  2. Step 2: Convert to fraction form
    6,578.22/9,869.17 = 3,658.58/x
  3. Step 3: Cross multiply
    6,578.22x = 9,869.17 × 3,658.58
  4. Step 4: Simplify right side
    6,578.22x = 36,107,147.98
  5. Step 5: Solve for x
    x = 36,107,147.98/6,578.22
  6. Step 6: Final answer
    x = 5,488.89

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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.