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Finding the Fourth Proportional to 6,734.52, 10,098.23 and 2,290.66

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Solution

The fourth proportional to 6,734.52, 10,098.23 and 2,290.66 is: 3,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.52 : 10,098.23 = 2,290.66 : x
  2. Step 2: Convert to fraction form
    6,734.52/10,098.23 = 2,290.66/x
  3. Step 3: Cross multiply
    6,734.52x = 10,098.23 × 2,290.66
  4. Step 4: Simplify right side
    6,734.52x = 23,131,611.53
  5. Step 5: Solve for x
    x = 23,131,611.53/6,734.52
  6. Step 6: Final answer
    x = 3,434.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.