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Finding the Fourth Proportional to 6,408.01, 8,843.46 and 3,754.45

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Solution

The fourth proportional to 6,408.01, 8,843.46 and 3,754.45 is: 5,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.01 : 8,843.46 = 3,754.45 : x
  2. Step 2: Convert to fraction form
    6,408.01/8,843.46 = 3,754.45/x
  3. Step 3: Cross multiply
    6,408.01x = 8,843.46 × 3,754.45
  4. Step 4: Simplify right side
    6,408.01x = 33,202,284.18
  5. Step 5: Solve for x
    x = 33,202,284.18/6,408.01
  6. Step 6: Final answer
    x = 5,181.38

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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.