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Finding the Fourth Proportional to 5,331.60, 7,997.40 and 4,942.80

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Solution

The fourth proportional to 5,331.60, 7,997.40 and 4,942.80 is: 7,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,331.60 : 7,997.40 = 4,942.80 : x
  2. Step 2: Convert to fraction form
    5,331.60/7,997.40 = 4,942.80/x
  3. Step 3: Cross multiply
    5,331.60x = 7,997.40 × 4,942.80
  4. Step 4: Simplify right side
    5,331.60x = 39,529,548.72
  5. Step 5: Solve for x
    x = 39,529,548.72/5,331.60
  6. Step 6: Final answer
    x = 7,414.20

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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.