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Finding the Fourth Proportional to 3,682.46, 5,524.65 and 2,230.94

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Solution

The fourth proportional to 3,682.46, 5,524.65 and 2,230.94 is: 3,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.46 : 5,524.65 = 2,230.94 : x
  2. Step 2: Convert to fraction form
    3,682.46/5,524.65 = 2,230.94/x
  3. Step 3: Cross multiply
    3,682.46x = 5,524.65 × 2,230.94
  4. Step 4: Simplify right side
    3,682.46x = 12,325,162.67
  5. Step 5: Solve for x
    x = 12,325,162.67/3,682.46
  6. Step 6: Final answer
    x = 3,346.99

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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.