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Finding the Fourth Proportional to 3,694.44, 5,099.22 and 2,280.18

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Solution

The fourth proportional to 3,694.44, 5,099.22 and 2,280.18 is: 3,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.44 : 5,099.22 = 2,280.18 : x
  2. Step 2: Convert to fraction form
    3,694.44/5,099.22 = 2,280.18/x
  3. Step 3: Cross multiply
    3,694.44x = 5,099.22 × 2,280.18
  4. Step 4: Simplify right side
    3,694.44x = 11,627,139.46
  5. Step 5: Solve for x
    x = 11,627,139.46/3,694.44
  6. Step 6: Final answer
    x = 3,147.20

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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.