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Finding the Fourth Proportional to 5,193.29, 7,166.64 and 2,835.45

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Solution

The fourth proportional to 5,193.29, 7,166.64 and 2,835.45 is: 3,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.29 : 7,166.64 = 2,835.45 : x
  2. Step 2: Convert to fraction form
    5,193.29/7,166.64 = 2,835.45/x
  3. Step 3: Cross multiply
    5,193.29x = 7,166.64 × 2,835.45
  4. Step 4: Simplify right side
    5,193.29x = 20,320,660.02
  5. Step 5: Solve for x
    x = 20,320,660.02/5,193.29
  6. Step 6: Final answer
    x = 3,912.87

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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.