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Finding the Fourth Proportional to 5,196.54, 7,177.17 and 3,786.55

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Solution

The fourth proportional to 5,196.54, 7,177.17 and 3,786.55 is: 5,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.54 : 7,177.17 = 3,786.55 : x
  2. Step 2: Convert to fraction form
    5,196.54/7,177.17 = 3,786.55/x
  3. Step 3: Cross multiply
    5,196.54x = 7,177.17 × 3,786.55
  4. Step 4: Simplify right side
    5,196.54x = 27,176,713.06
  5. Step 5: Solve for x
    x = 27,176,713.06/5,196.54
  6. Step 6: Final answer
    x = 5,229.77

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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.