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Finding the Fourth Proportional to 4,201.14, 5,797.62 and 2,338.14

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Solution

The fourth proportional to 4,201.14, 5,797.62 and 2,338.14 is: 3,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.14 : 5,797.62 = 2,338.14 : x
  2. Step 2: Convert to fraction form
    4,201.14/5,797.62 = 2,338.14/x
  3. Step 3: Cross multiply
    4,201.14x = 5,797.62 × 2,338.14
  4. Step 4: Simplify right side
    4,201.14x = 13,555,647.23
  5. Step 5: Solve for x
    x = 13,555,647.23/4,201.14
  6. Step 6: Final answer
    x = 3,226.66

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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.