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Finding the Fourth Proportional to 3,997.60, 5,992.80 and 2,611.60

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Solution

The fourth proportional to 3,997.60, 5,992.80 and 2,611.60 is: 3,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.60 : 5,992.80 = 2,611.60 : x
  2. Step 2: Convert to fraction form
    3,997.60/5,992.80 = 2,611.60/x
  3. Step 3: Cross multiply
    3,997.60x = 5,992.80 × 2,611.60
  4. Step 4: Simplify right side
    3,997.60x = 15,650,796.48
  5. Step 5: Solve for x
    x = 15,650,796.48/3,997.60
  6. Step 6: Final answer
    x = 3,915.05

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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.