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Finding the Fourth Proportional to 4,274.44, 6,405.18 and 3,173.64

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Solution

The fourth proportional to 4,274.44, 6,405.18 and 3,173.64 is: 4,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.44 : 6,405.18 = 3,173.64 : x
  2. Step 2: Convert to fraction form
    4,274.44/6,405.18 = 3,173.64/x
  3. Step 3: Cross multiply
    4,274.44x = 6,405.18 × 3,173.64
  4. Step 4: Simplify right side
    4,274.44x = 20,327,735.46
  5. Step 5: Solve for x
    x = 20,327,735.46/4,274.44
  6. Step 6: Final answer
    x = 4,755.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.