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Finding the Fourth Proportional to 5,611.67, 7,742.75 and 3,621.80

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Solution

The fourth proportional to 5,611.67, 7,742.75 and 3,621.80 is: 4,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.67 : 7,742.75 = 3,621.80 : x
  2. Step 2: Convert to fraction form
    5,611.67/7,742.75 = 3,621.80/x
  3. Step 3: Cross multiply
    5,611.67x = 7,742.75 × 3,621.80
  4. Step 4: Simplify right side
    5,611.67x = 28,042,691.95
  5. Step 5: Solve for x
    x = 28,042,691.95/5,611.67
  6. Step 6: Final answer
    x = 4,997.21

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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.