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Finding the Fourth Proportional to 5,111.85, 7,662.01 and 2,606

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Solution

The fourth proportional to 5,111.85, 7,662.01 and 2,606 is: 3,906.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.85 : 7,662.01 = 2,606 : x
  2. Step 2: Convert to fraction form
    5,111.85/7,662.01 = 2,606/x
  3. Step 3: Cross multiply
    5,111.85x = 7,662.01 × 2,606
  4. Step 4: Simplify right side
    5,111.85x = 19,967,198.06
  5. Step 5: Solve for x
    x = 19,967,198.06/5,111.85
  6. Step 6: Final answer
    x = 3,906.06

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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.