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Finding the Fourth Proportional to 4,187.76, 5,784.24 and 3,067.14

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Solution

The fourth proportional to 4,187.76, 5,784.24 and 3,067.14 is: 4,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.76 : 5,784.24 = 3,067.14 : x
  2. Step 2: Convert to fraction form
    4,187.76/5,784.24 = 3,067.14/x
  3. Step 3: Cross multiply
    4,187.76x = 5,784.24 × 3,067.14
  4. Step 4: Simplify right side
    4,187.76x = 17,741,073.87
  5. Step 5: Solve for x
    x = 17,741,073.87/4,187.76
  6. Step 6: Final answer
    x = 4,236.41

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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.