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Finding the Fourth Proportional to 5,611.50, 7,744.62 and 3,627.84

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Solution

The fourth proportional to 5,611.50, 7,744.62 and 3,627.84 is: 5,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.50 : 7,744.62 = 3,627.84 : x
  2. Step 2: Convert to fraction form
    5,611.50/7,744.62 = 3,627.84/x
  3. Step 3: Cross multiply
    5,611.50x = 7,744.62 × 3,627.84
  4. Step 4: Simplify right side
    5,611.50x = 28,096,242.22
  5. Step 5: Solve for x
    x = 28,096,242.22/5,611.50
  6. Step 6: Final answer
    x = 5,006.90

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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.