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Finding the Fourth Proportional to 4,099.37, 6,147.63 and 1,599.97

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Solution

The fourth proportional to 4,099.37, 6,147.63 and 1,599.97 is: 2,399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.37 : 6,147.63 = 1,599.97 : x
  2. Step 2: Convert to fraction form
    4,099.37/6,147.63 = 1,599.97/x
  3. Step 3: Cross multiply
    4,099.37x = 6,147.63 × 1,599.97
  4. Step 4: Simplify right side
    4,099.37x = 9,836,023.57
  5. Step 5: Solve for x
    x = 9,836,023.57/4,099.37
  6. Step 6: Final answer
    x = 2,399.40

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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.