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Finding the Fourth Proportional to 5,099.64, 7,649.46 and 2,327.22

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Solution

The fourth proportional to 5,099.64, 7,649.46 and 2,327.22 is: 3,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.64 : 7,649.46 = 2,327.22 : x
  2. Step 2: Convert to fraction form
    5,099.64/7,649.46 = 2,327.22/x
  3. Step 3: Cross multiply
    5,099.64x = 7,649.46 × 2,327.22
  4. Step 4: Simplify right side
    5,099.64x = 17,801,976.30
  5. Step 5: Solve for x
    x = 17,801,976.30/5,099.64
  6. Step 6: Final answer
    x = 3,490.83

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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.