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Finding the Fourth Proportional to 4,102.75, 6,150.03 and 3,793.84

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Solution

The fourth proportional to 4,102.75, 6,150.03 and 3,793.84 is: 5,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.75 : 6,150.03 = 3,793.84 : x
  2. Step 2: Convert to fraction form
    4,102.75/6,150.03 = 3,793.84/x
  3. Step 3: Cross multiply
    4,102.75x = 6,150.03 × 3,793.84
  4. Step 4: Simplify right side
    4,102.75x = 23,332,200.21
  5. Step 5: Solve for x
    x = 23,332,200.21/4,102.75
  6. Step 6: Final answer
    x = 5,686.96

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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.