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Finding the Fourth Proportional to 3,682.82, 5,522.47 and 1,489.70

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Solution

The fourth proportional to 3,682.82, 5,522.47 and 1,489.70 is: 2,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.82 : 5,522.47 = 1,489.70 : x
  2. Step 2: Convert to fraction form
    3,682.82/5,522.47 = 1,489.70/x
  3. Step 3: Cross multiply
    3,682.82x = 5,522.47 × 1,489.70
  4. Step 4: Simplify right side
    3,682.82x = 8,226,823.56
  5. Step 5: Solve for x
    x = 8,226,823.56/3,682.82
  6. Step 6: Final answer
    x = 2,233.84

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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.