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Finding the Fourth Proportional to 4,099.20, 5,649.39 and 2,978.18

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Solution

The fourth proportional to 4,099.20, 5,649.39 and 2,978.18 is: 4,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.20 : 5,649.39 = 2,978.18 : x
  2. Step 2: Convert to fraction form
    4,099.20/5,649.39 = 2,978.18/x
  3. Step 3: Cross multiply
    4,099.20x = 5,649.39 × 2,978.18
  4. Step 4: Simplify right side
    4,099.20x = 16,824,872.06
  5. Step 5: Solve for x
    x = 16,824,872.06/4,099.20
  6. Step 6: Final answer
    x = 4,104.43

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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.