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Finding the Fourth Proportional to 3,910.80, 5,396.84 and 2,232.30

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Solution

The fourth proportional to 3,910.80, 5,396.84 and 2,232.30 is: 3,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.80 : 5,396.84 = 2,232.30 : x
  2. Step 2: Convert to fraction form
    3,910.80/5,396.84 = 2,232.30/x
  3. Step 3: Cross multiply
    3,910.80x = 5,396.84 × 2,232.30
  4. Step 4: Simplify right side
    3,910.80x = 12,047,365.93
  5. Step 5: Solve for x
    x = 12,047,365.93/3,910.80
  6. Step 6: Final answer
    x = 3,080.54

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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.