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Finding the Fourth Proportional to 3,349.76, 5,023.92 and 2,099.75

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Solution

The fourth proportional to 3,349.76, 5,023.92 and 2,099.75 is: 3,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.76 : 5,023.92 = 2,099.75 : x
  2. Step 2: Convert to fraction form
    3,349.76/5,023.92 = 2,099.75/x
  3. Step 3: Cross multiply
    3,349.76x = 5,023.92 × 2,099.75
  4. Step 4: Simplify right side
    3,349.76x = 10,548,976.02
  5. Step 5: Solve for x
    x = 10,548,976.02/3,349.76
  6. Step 6: Final answer
    x = 3,149.17

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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.