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Finding the Fourth Proportional to 6,407.97, 8,843.01 and 3,755.39

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Solution

The fourth proportional to 6,407.97, 8,843.01 and 3,755.39 is: 5,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.97 : 8,843.01 = 3,755.39 : x
  2. Step 2: Convert to fraction form
    6,407.97/8,843.01 = 3,755.39/x
  3. Step 3: Cross multiply
    6,407.97x = 8,843.01 × 3,755.39
  4. Step 4: Simplify right side
    6,407.97x = 33,208,907.11
  5. Step 5: Solve for x
    x = 33,208,907.11/6,407.97
  6. Step 6: Final answer
    x = 5,182.43

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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.