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Finding the Fourth Proportional to 3,544.26, 4,891.05 and 1,972.38

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Solution

The fourth proportional to 3,544.26, 4,891.05 and 1,972.38 is: 2,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.26 : 4,891.05 = 1,972.38 : x
  2. Step 2: Convert to fraction form
    3,544.26/4,891.05 = 1,972.38/x
  3. Step 3: Cross multiply
    3,544.26x = 4,891.05 × 1,972.38
  4. Step 4: Simplify right side
    3,544.26x = 9,647,009.20
  5. Step 5: Solve for x
    x = 9,647,009.20/3,544.26
  6. Step 6: Final answer
    x = 2,721.87

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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.