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Finding the Fourth Proportional to 5,196.37, 7,171.19 and 2,838.53

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Solution

The fourth proportional to 5,196.37, 7,171.19 and 2,838.53 is: 3,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.37 : 7,171.19 = 2,838.53 : x
  2. Step 2: Convert to fraction form
    5,196.37/7,171.19 = 2,838.53/x
  3. Step 3: Cross multiply
    5,196.37x = 7,171.19 × 2,838.53
  4. Step 4: Simplify right side
    5,196.37x = 20,355,605.83
  5. Step 5: Solve for x
    x = 20,355,605.83/5,196.37
  6. Step 6: Final answer
    x = 3,917.27

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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.