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Finding the Fourth Proportional to 5,071.26, 6,997.86 and 2,974.98

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Solution

The fourth proportional to 5,071.26, 6,997.86 and 2,974.98 is: 4,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.26 : 6,997.86 = 2,974.98 : x
  2. Step 2: Convert to fraction form
    5,071.26/6,997.86 = 2,974.98/x
  3. Step 3: Cross multiply
    5,071.26x = 6,997.86 × 2,974.98
  4. Step 4: Simplify right side
    5,071.26x = 20,818,493.54
  5. Step 5: Solve for x
    x = 20,818,493.54/5,071.26
  6. Step 6: Final answer
    x = 4,105.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.