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Finding the Fourth Proportional to 5,196.78, 7,171.44 and 2,838.96

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Solution

The fourth proportional to 5,196.78, 7,171.44 and 2,838.96 is: 3,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.78 : 7,171.44 = 2,838.96 : x
  2. Step 2: Convert to fraction form
    5,196.78/7,171.44 = 2,838.96/x
  3. Step 3: Cross multiply
    5,196.78x = 7,171.44 × 2,838.96
  4. Step 4: Simplify right side
    5,196.78x = 20,359,431.30
  5. Step 5: Solve for x
    x = 20,359,431.30/5,196.78
  6. Step 6: Final answer
    x = 3,917.70

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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.