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Finding the Fourth Proportional to 6,641.88, 9,166.26 and 3,658.08

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Solution

The fourth proportional to 6,641.88, 9,166.26 and 3,658.08 is: 5,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.88 : 9,166.26 = 3,658.08 : x
  2. Step 2: Convert to fraction form
    6,641.88/9,166.26 = 3,658.08/x
  3. Step 3: Cross multiply
    6,641.88x = 9,166.26 × 3,658.08
  4. Step 4: Simplify right side
    6,641.88x = 33,530,912.38
  5. Step 5: Solve for x
    x = 33,530,912.38/6,641.88
  6. Step 6: Final answer
    x = 5,048.41

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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.