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Finding the Fourth Proportional to 4,993.45, 6,891.38 and 2,897.44

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Solution

The fourth proportional to 4,993.45, 6,891.38 and 2,897.44 is: 3,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.45 : 6,891.38 = 2,897.44 : x
  2. Step 2: Convert to fraction form
    4,993.45/6,891.38 = 2,897.44/x
  3. Step 3: Cross multiply
    4,993.45x = 6,891.38 × 2,897.44
  4. Step 4: Simplify right side
    4,993.45x = 19,967,339.22
  5. Step 5: Solve for x
    x = 19,967,339.22/4,993.45
  6. Step 6: Final answer
    x = 3,998.71

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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.