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Finding the Fourth Proportional to 5,105.67, 7,642.08 and 3,453.12

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Solution

The fourth proportional to 5,105.67, 7,642.08 and 3,453.12 is: 5,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.67 : 7,642.08 = 3,453.12 : x
  2. Step 2: Convert to fraction form
    5,105.67/7,642.08 = 3,453.12/x
  3. Step 3: Cross multiply
    5,105.67x = 7,642.08 × 3,453.12
  4. Step 4: Simplify right side
    5,105.67x = 26,389,019.29
  5. Step 5: Solve for x
    x = 26,389,019.29/5,105.67
  6. Step 6: Final answer
    x = 5,168.57

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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.