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Finding the Fourth Proportional to 6,544.44, 9,816.17 and 2,849.31

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Solution

The fourth proportional to 6,544.44, 9,816.17 and 2,849.31 is: 4,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.44 : 9,816.17 = 2,849.31 : x
  2. Step 2: Convert to fraction form
    6,544.44/9,816.17 = 2,849.31/x
  3. Step 3: Cross multiply
    6,544.44x = 9,816.17 × 2,849.31
  4. Step 4: Simplify right side
    6,544.44x = 27,969,297.10
  5. Step 5: Solve for x
    x = 27,969,297.10/6,544.44
  6. Step 6: Final answer
    x = 4,273.75

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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.