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Finding the Fourth Proportional to 4,157.14, 5,736.83 and 2,268.68

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Solution

The fourth proportional to 4,157.14, 5,736.83 and 2,268.68 is: 3,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.14 : 5,736.83 = 2,268.68 : x
  2. Step 2: Convert to fraction form
    4,157.14/5,736.83 = 2,268.68/x
  3. Step 3: Cross multiply
    4,157.14x = 5,736.83 × 2,268.68
  4. Step 4: Simplify right side
    4,157.14x = 13,015,031.48
  5. Step 5: Solve for x
    x = 13,015,031.48/4,157.14
  6. Step 6: Final answer
    x = 3,130.77

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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.