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Finding the Fourth Proportional to 3,914.17, 5,408.71 and 2,850.08

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Solution

The fourth proportional to 3,914.17, 5,408.71 and 2,850.08 is: 3,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.17 : 5,408.71 = 2,850.08 : x
  2. Step 2: Convert to fraction form
    3,914.17/5,408.71 = 2,850.08/x
  3. Step 3: Cross multiply
    3,914.17x = 5,408.71 × 2,850.08
  4. Step 4: Simplify right side
    3,914.17x = 15,415,262.59
  5. Step 5: Solve for x
    x = 15,415,262.59/3,914.17
  6. Step 6: Final answer
    x = 3,938.32

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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.