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Finding the Fourth Proportional to 5,227.35, 7,208.10 and 3,734.70

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Solution

The fourth proportional to 5,227.35, 7,208.10 and 3,734.70 is: 5,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.35 : 7,208.10 = 3,734.70 : x
  2. Step 2: Convert to fraction form
    5,227.35/7,208.10 = 3,734.70/x
  3. Step 3: Cross multiply
    5,227.35x = 7,208.10 × 3,734.70
  4. Step 4: Simplify right side
    5,227.35x = 26,920,091.07
  5. Step 5: Solve for x
    x = 26,920,091.07/5,227.35
  6. Step 6: Final answer
    x = 5,149.85

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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.