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Finding the Fourth Proportional to 5,147.72, 7,712.62 and 3,201.32

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Solution

The fourth proportional to 5,147.72, 7,712.62 and 3,201.32 is: 4,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.72 : 7,712.62 = 3,201.32 : x
  2. Step 2: Convert to fraction form
    5,147.72/7,712.62 = 3,201.32/x
  3. Step 3: Cross multiply
    5,147.72x = 7,712.62 × 3,201.32
  4. Step 4: Simplify right side
    5,147.72x = 24,690,564.66
  5. Step 5: Solve for x
    x = 24,690,564.66/5,147.72
  6. Step 6: Final answer
    x = 4,796.41

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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.