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Finding the Fourth Proportional to 3,791.96, 5,232.03 and 2,219.75

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Solution

The fourth proportional to 3,791.96, 5,232.03 and 2,219.75 is: 3,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.96 : 5,232.03 = 2,219.75 : x
  2. Step 2: Convert to fraction form
    3,791.96/5,232.03 = 2,219.75/x
  3. Step 3: Cross multiply
    3,791.96x = 5,232.03 × 2,219.75
  4. Step 4: Simplify right side
    3,791.96x = 11,613,798.59
  5. Step 5: Solve for x
    x = 11,613,798.59/3,791.96
  6. Step 6: Final answer
    x = 3,062.74

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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.