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Finding the Fourth Proportional to 3,692.17, 5,097.60 and 2,851.39

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Solution

The fourth proportional to 3,692.17, 5,097.60 and 2,851.39 is: 3,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.17 : 5,097.60 = 2,851.39 : x
  2. Step 2: Convert to fraction form
    3,692.17/5,097.60 = 2,851.39/x
  3. Step 3: Cross multiply
    3,692.17x = 5,097.60 × 2,851.39
  4. Step 4: Simplify right side
    3,692.17x = 14,535,245.66
  5. Step 5: Solve for x
    x = 14,535,245.66/3,692.17
  6. Step 6: Final answer
    x = 3,936.78

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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.