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Finding the Fourth Proportional to 5,141.97, 7,712.95 and 1,679.22

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Solution

The fourth proportional to 5,141.97, 7,712.95 and 1,679.22 is: 2,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.97 : 7,712.95 = 1,679.22 : x
  2. Step 2: Convert to fraction form
    5,141.97/7,712.95 = 1,679.22/x
  3. Step 3: Cross multiply
    5,141.97x = 7,712.95 × 1,679.22
  4. Step 4: Simplify right side
    5,141.97x = 12,951,739.90
  5. Step 5: Solve for x
    x = 12,951,739.90/5,141.97
  6. Step 6: Final answer
    x = 2,518.83

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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.