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Finding the Fourth Proportional to 4,157.15, 5,736.92 and 2,268.72

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Solution

The fourth proportional to 4,157.15, 5,736.92 and 2,268.72 is: 3,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.15 : 5,736.92 = 2,268.72 : x
  2. Step 2: Convert to fraction form
    4,157.15/5,736.92 = 2,268.72/x
  3. Step 3: Cross multiply
    4,157.15x = 5,736.92 × 2,268.72
  4. Step 4: Simplify right side
    4,157.15x = 13,015,453.80
  5. Step 5: Solve for x
    x = 13,015,453.80/4,157.15
  6. Step 6: Final answer
    x = 3,130.86

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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.