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Finding the Fourth Proportional to 5,997.60, 8,996.40 and 3,076.20

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Solution

The fourth proportional to 5,997.60, 8,996.40 and 3,076.20 is: 4,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.60 : 8,996.40 = 3,076.20 : x
  2. Step 2: Convert to fraction form
    5,997.60/8,996.40 = 3,076.20/x
  3. Step 3: Cross multiply
    5,997.60x = 8,996.40 × 3,076.20
  4. Step 4: Simplify right side
    5,997.60x = 27,674,725.68
  5. Step 5: Solve for x
    x = 27,674,725.68/5,997.60
  6. Step 6: Final answer
    x = 4,614.30

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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.