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Finding the Fourth Proportional to 3,759.76, 5,187.16 and 2,268.32

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Solution

The fourth proportional to 3,759.76, 5,187.16 and 2,268.32 is: 3,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.76 : 5,187.16 = 2,268.32 : x
  2. Step 2: Convert to fraction form
    3,759.76/5,187.16 = 2,268.32/x
  3. Step 3: Cross multiply
    3,759.76x = 5,187.16 × 2,268.32
  4. Step 4: Simplify right side
    3,759.76x = 11,766,138.77
  5. Step 5: Solve for x
    x = 11,766,138.77/3,759.76
  6. Step 6: Final answer
    x = 3,129.49

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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.