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Finding the Fourth Proportional to 3,415.67, 5,114.24 and 2,832.47

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Solution

The fourth proportional to 3,415.67, 5,114.24 and 2,832.47 is: 4,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.67 : 5,114.24 = 2,832.47 : x
  2. Step 2: Convert to fraction form
    3,415.67/5,114.24 = 2,832.47/x
  3. Step 3: Cross multiply
    3,415.67x = 5,114.24 × 2,832.47
  4. Step 4: Simplify right side
    3,415.67x = 14,485,921.44
  5. Step 5: Solve for x
    x = 14,485,921.44/3,415.67
  6. Step 6: Final answer
    x = 4,241.02

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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.