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Finding the Fourth Proportional to 5,193.31, 7,166.84 and 2,835.40

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Solution

The fourth proportional to 5,193.31, 7,166.84 and 2,835.40 is: 3,912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.31 : 7,166.84 = 2,835.40 : x
  2. Step 2: Convert to fraction form
    5,193.31/7,166.84 = 2,835.40/x
  3. Step 3: Cross multiply
    5,193.31x = 7,166.84 × 2,835.40
  4. Step 4: Simplify right side
    5,193.31x = 20,320,858.14
  5. Step 5: Solve for x
    x = 20,320,858.14/5,193.31
  6. Step 6: Final answer
    x = 3,912.89

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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.