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Finding the Fourth Proportional to 6,644.58, 9,167.46 and 3,849.54

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Solution

The fourth proportional to 6,644.58, 9,167.46 and 3,849.54 is: 5,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.58 : 9,167.46 = 3,849.54 : x
  2. Step 2: Convert to fraction form
    6,644.58/9,167.46 = 3,849.54/x
  3. Step 3: Cross multiply
    6,644.58x = 9,167.46 × 3,849.54
  4. Step 4: Simplify right side
    6,644.58x = 35,290,503.97
  5. Step 5: Solve for x
    x = 35,290,503.97/6,644.58
  6. Step 6: Final answer
    x = 5,311.17

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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.