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Finding the Fourth Proportional to 5,297.09, 7,942.56 and 2,008.39

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Solution

The fourth proportional to 5,297.09, 7,942.56 and 2,008.39 is: 3,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.09 : 7,942.56 = 2,008.39 : x
  2. Step 2: Convert to fraction form
    5,297.09/7,942.56 = 2,008.39/x
  3. Step 3: Cross multiply
    5,297.09x = 7,942.56 × 2,008.39
  4. Step 4: Simplify right side
    5,297.09x = 15,951,788.89
  5. Step 5: Solve for x
    x = 15,951,788.89/5,297.09
  6. Step 6: Final answer
    x = 3,011.42

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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.