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Finding the Fourth Proportional to 5,196.72, 7,171.26 and 2,838.84

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Solution

The fourth proportional to 5,196.72, 7,171.26 and 2,838.84 is: 3,917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.72 : 7,171.26 = 2,838.84 : x
  2. Step 2: Convert to fraction form
    5,196.72/7,171.26 = 2,838.84/x
  3. Step 3: Cross multiply
    5,196.72x = 7,171.26 × 2,838.84
  4. Step 4: Simplify right side
    5,196.72x = 20,358,059.74
  5. Step 5: Solve for x
    x = 20,358,059.74/5,196.72
  6. Step 6: Final answer
    x = 3,917.48

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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.