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Finding the Fourth Proportional to 4,099.68, 6,143.04 and 3,180.60

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Solution

The fourth proportional to 4,099.68, 6,143.04 and 3,180.60 is: 4,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.68 : 6,143.04 = 3,180.60 : x
  2. Step 2: Convert to fraction form
    4,099.68/6,143.04 = 3,180.60/x
  3. Step 3: Cross multiply
    4,099.68x = 6,143.04 × 3,180.60
  4. Step 4: Simplify right side
    4,099.68x = 19,538,553.02
  5. Step 5: Solve for x
    x = 19,538,553.02/4,099.68
  6. Step 6: Final answer
    x = 4,765.87

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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.