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Finding the Fourth Proportional to 3,188.36, 4,400 and 1,791.12

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Solution

The fourth proportional to 3,188.36, 4,400 and 1,791.12 is: 2,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.36 : 4,400 = 1,791.12 : x
  2. Step 2: Convert to fraction form
    3,188.36/4,400 = 1,791.12/x
  3. Step 3: Cross multiply
    3,188.36x = 4,400 × 1,791.12
  4. Step 4: Simplify right side
    3,188.36x = 7,880,928.00
  5. Step 5: Solve for x
    x = 7,880,928.00/3,188.36
  6. Step 6: Final answer
    x = 2,471.78

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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.