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Finding the Fourth Proportional to 5,190.64, 7,164.44 and 3,326.64

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Solution

The fourth proportional to 5,190.64, 7,164.44 and 3,326.64 is: 4,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.64 : 7,164.44 = 3,326.64 : x
  2. Step 2: Convert to fraction form
    5,190.64/7,164.44 = 3,326.64/x
  3. Step 3: Cross multiply
    5,190.64x = 7,164.44 × 3,326.64
  4. Step 4: Simplify right side
    5,190.64x = 23,833,512.68
  5. Step 5: Solve for x
    x = 23,833,512.68/5,190.64
  6. Step 6: Final answer
    x = 4,591.63

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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.