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Finding the Fourth Proportional to 3,200.03, 4,796.81 and 1,249.55

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Solution

The fourth proportional to 3,200.03, 4,796.81 and 1,249.55 is: 1,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.03 : 4,796.81 = 1,249.55 : x
  2. Step 2: Convert to fraction form
    3,200.03/4,796.81 = 1,249.55/x
  3. Step 3: Cross multiply
    3,200.03x = 4,796.81 × 1,249.55
  4. Step 4: Simplify right side
    3,200.03x = 5,993,847.69
  5. Step 5: Solve for x
    x = 5,993,847.69/3,200.03
  6. Step 6: Final answer
    x = 1,873.06

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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.