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Finding the Fourth Proportional to 4,198.01, 5,790.83 and 3,883.05

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Solution

The fourth proportional to 4,198.01, 5,790.83 and 3,883.05 is: 5,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.01 : 5,790.83 = 3,883.05 : x
  2. Step 2: Convert to fraction form
    4,198.01/5,790.83 = 3,883.05/x
  3. Step 3: Cross multiply
    4,198.01x = 5,790.83 × 3,883.05
  4. Step 4: Simplify right side
    4,198.01x = 22,486,063.02
  5. Step 5: Solve for x
    x = 22,486,063.02/4,198.01
  6. Step 6: Final answer
    x = 5,356.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.