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Finding the Fourth Proportional to 5,196.25, 7,171.02 and 2,838.41

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Solution

The fourth proportional to 5,196.25, 7,171.02 and 2,838.41 is: 3,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.25 : 7,171.02 = 2,838.41 : x
  2. Step 2: Convert to fraction form
    5,196.25/7,171.02 = 2,838.41/x
  3. Step 3: Cross multiply
    5,196.25x = 7,171.02 × 2,838.41
  4. Step 4: Simplify right side
    5,196.25x = 20,354,244.83
  5. Step 5: Solve for x
    x = 20,354,244.83/5,196.25
  6. Step 6: Final answer
    x = 3,917.11

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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.