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Finding the Fourth Proportional to 5,196.36, 7,171 and 2,838.56

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Solution

The fourth proportional to 5,196.36, 7,171 and 2,838.56 is: 3,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.36 : 7,171 = 2,838.56 : x
  2. Step 2: Convert to fraction form
    5,196.36/7,171 = 2,838.56/x
  3. Step 3: Cross multiply
    5,196.36x = 7,171 × 2,838.56
  4. Step 4: Simplify right side
    5,196.36x = 20,355,313.76
  5. Step 5: Solve for x
    x = 20,355,313.76/5,196.36
  6. Step 6: Final answer
    x = 3,917.23

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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.