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Finding the Fourth Proportional to 5,144.35, 7,099.14 and 2,906.23

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Solution

The fourth proportional to 5,144.35, 7,099.14 and 2,906.23 is: 4,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.35 : 7,099.14 = 2,906.23 : x
  2. Step 2: Convert to fraction form
    5,144.35/7,099.14 = 2,906.23/x
  3. Step 3: Cross multiply
    5,144.35x = 7,099.14 × 2,906.23
  4. Step 4: Simplify right side
    5,144.35x = 20,631,733.64
  5. Step 5: Solve for x
    x = 20,631,733.64/5,144.35
  6. Step 6: Final answer
    x = 4,010.56

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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.