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Finding the Fourth Proportional to 5,117.77, 7,672.09 and 1,997.05

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Solution

The fourth proportional to 5,117.77, 7,672.09 and 1,997.05 is: 2,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.77 : 7,672.09 = 1,997.05 : x
  2. Step 2: Convert to fraction form
    5,117.77/7,672.09 = 1,997.05/x
  3. Step 3: Cross multiply
    5,117.77x = 7,672.09 × 1,997.05
  4. Step 4: Simplify right side
    5,117.77x = 15,321,520.67
  5. Step 5: Solve for x
    x = 15,321,520.67/5,117.77
  6. Step 6: Final answer
    x = 2,993.79

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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.