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Finding the Fourth Proportional to 5,196.29, 7,176.84 and 3,786.28

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Solution

The fourth proportional to 5,196.29, 7,176.84 and 3,786.28 is: 5,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.29 : 7,176.84 = 3,786.28 : x
  2. Step 2: Convert to fraction form
    5,196.29/7,176.84 = 3,786.28/x
  3. Step 3: Cross multiply
    5,196.29x = 7,176.84 × 3,786.28
  4. Step 4: Simplify right side
    5,196.29x = 27,173,493.61
  5. Step 5: Solve for x
    x = 27,173,493.61/5,196.29
  6. Step 6: Final answer
    x = 5,229.41

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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.