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Finding the Fourth Proportional to 5,144.15, 7,098.84 and 2,906.33

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Solution

The fourth proportional to 5,144.15, 7,098.84 and 2,906.33 is: 4,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.15 : 7,098.84 = 2,906.33 : x
  2. Step 2: Convert to fraction form
    5,144.15/7,098.84 = 2,906.33/x
  3. Step 3: Cross multiply
    5,144.15x = 7,098.84 × 2,906.33
  4. Step 4: Simplify right side
    5,144.15x = 20,631,536.16
  5. Step 5: Solve for x
    x = 20,631,536.16/5,144.15
  6. Step 6: Final answer
    x = 4,010.68

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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.