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Finding the Fourth Proportional to 5,798.97, 7,996.67 and 4,962.44

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Solution

The fourth proportional to 5,798.97, 7,996.67 and 4,962.44 is: 6,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.97 : 7,996.67 = 4,962.44 : x
  2. Step 2: Convert to fraction form
    5,798.97/7,996.67 = 4,962.44/x
  3. Step 3: Cross multiply
    5,798.97x = 7,996.67 × 4,962.44
  4. Step 4: Simplify right side
    5,798.97x = 39,682,930.28
  5. Step 5: Solve for x
    x = 39,682,930.28/5,798.97
  6. Step 6: Final answer
    x = 6,843.10

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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.