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Finding the Fourth Proportional to 5,193.25, 7,166.72 and 2,835.42

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Solution

The fourth proportional to 5,193.25, 7,166.72 and 2,835.42 is: 3,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.25 : 7,166.72 = 2,835.42 : x
  2. Step 2: Convert to fraction form
    5,193.25/7,166.72 = 2,835.42/x
  3. Step 3: Cross multiply
    5,193.25x = 7,166.72 × 2,835.42
  4. Step 4: Simplify right side
    5,193.25x = 20,320,661.22
  5. Step 5: Solve for x
    x = 20,320,661.22/5,193.25
  6. Step 6: Final answer
    x = 3,912.90

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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.