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Finding the Fourth Proportional to 3,891.87, 5,370.75 and 2,213.64

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Solution

The fourth proportional to 3,891.87, 5,370.75 and 2,213.64 is: 3,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.87 : 5,370.75 = 2,213.64 : x
  2. Step 2: Convert to fraction form
    3,891.87/5,370.75 = 2,213.64/x
  3. Step 3: Cross multiply
    3,891.87x = 5,370.75 × 2,213.64
  4. Step 4: Simplify right side
    3,891.87x = 11,888,907.03
  5. Step 5: Solve for x
    x = 11,888,907.03/3,891.87
  6. Step 6: Final answer
    x = 3,054.81

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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.