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Finding the Fourth Proportional to 3,682.68, 5,525.49 and 1,342.85

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Solution

The fourth proportional to 3,682.68, 5,525.49 and 1,342.85 is: 2,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.68 : 5,525.49 = 1,342.85 : x
  2. Step 2: Convert to fraction form
    3,682.68/5,525.49 = 1,342.85/x
  3. Step 3: Cross multiply
    3,682.68x = 5,525.49 × 1,342.85
  4. Step 4: Simplify right side
    3,682.68x = 7,419,876.62
  5. Step 5: Solve for x
    x = 7,419,876.62/3,682.68
  6. Step 6: Final answer
    x = 2,014.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.