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Finding the Fourth Proportional to 3,692.27, 5,093.73 and 2,275.58

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Solution

The fourth proportional to 3,692.27, 5,093.73 and 2,275.58 is: 3,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.27 : 5,093.73 = 2,275.58 : x
  2. Step 2: Convert to fraction form
    3,692.27/5,093.73 = 2,275.58/x
  3. Step 3: Cross multiply
    3,692.27x = 5,093.73 × 2,275.58
  4. Step 4: Simplify right side
    3,692.27x = 11,591,164.64
  5. Step 5: Solve for x
    x = 11,591,164.64/3,692.27
  6. Step 6: Final answer
    x = 3,139.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.