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Finding the Fourth Proportional to 5,196.52, 7,171.28 and 3,686.73

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Solution

The fourth proportional to 5,196.52, 7,171.28 and 3,686.73 is: 5,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.52 : 7,171.28 = 3,686.73 : x
  2. Step 2: Convert to fraction form
    5,196.52/7,171.28 = 3,686.73/x
  3. Step 3: Cross multiply
    5,196.52x = 7,171.28 × 3,686.73
  4. Step 4: Simplify right side
    5,196.52x = 26,438,573.11
  5. Step 5: Solve for x
    x = 26,438,573.11/5,196.52
  6. Step 6: Final answer
    x = 5,087.75

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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.