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Finding the Fourth Proportional to 5,238.95, 7,229.67 and 2,881.09

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Solution

The fourth proportional to 5,238.95, 7,229.67 and 2,881.09 is: 3,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.95 : 7,229.67 = 2,881.09 : x
  2. Step 2: Convert to fraction form
    5,238.95/7,229.67 = 2,881.09/x
  3. Step 3: Cross multiply
    5,238.95x = 7,229.67 × 2,881.09
  4. Step 4: Simplify right side
    5,238.95x = 20,829,293.79
  5. Step 5: Solve for x
    x = 20,829,293.79/5,238.95
  6. Step 6: Final answer
    x = 3,975.85

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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.