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Finding the Fourth Proportional to 3,402.56, 5,105.73 and 2,660.06

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Solution

The fourth proportional to 3,402.56, 5,105.73 and 2,660.06 is: 3,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.56 : 5,105.73 = 2,660.06 : x
  2. Step 2: Convert to fraction form
    3,402.56/5,105.73 = 2,660.06/x
  3. Step 3: Cross multiply
    3,402.56x = 5,105.73 × 2,660.06
  4. Step 4: Simplify right side
    3,402.56x = 13,581,522.62
  5. Step 5: Solve for x
    x = 13,581,522.62/3,402.56
  6. Step 6: Final answer
    x = 3,991.57

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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.