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Finding the Fourth Proportional to 3,759.88, 5,189.16 and 2,268.76

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Solution

The fourth proportional to 3,759.88, 5,189.16 and 2,268.76 is: 3,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.88 : 5,189.16 = 2,268.76 : x
  2. Step 2: Convert to fraction form
    3,759.88/5,189.16 = 2,268.76/x
  3. Step 3: Cross multiply
    3,759.88x = 5,189.16 × 2,268.76
  4. Step 4: Simplify right side
    3,759.88x = 11,772,958.64
  5. Step 5: Solve for x
    x = 11,772,958.64/3,759.88
  6. Step 6: Final answer
    x = 3,131.21

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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.