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Finding the Fourth Proportional to 5,240.84, 7,229.32 and 3,822.64

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Solution

The fourth proportional to 5,240.84, 7,229.32 and 3,822.64 is: 5,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.84 : 7,229.32 = 3,822.64 : x
  2. Step 2: Convert to fraction form
    5,240.84/7,229.32 = 3,822.64/x
  3. Step 3: Cross multiply
    5,240.84x = 7,229.32 × 3,822.64
  4. Step 4: Simplify right side
    5,240.84x = 27,635,087.80
  5. Step 5: Solve for x
    x = 27,635,087.80/5,240.84
  6. Step 6: Final answer
    x = 5,273.03

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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.