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Finding the Fourth Proportional to 3,389.62, 5,086.58 and 1,441.82

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Solution

The fourth proportional to 3,389.62, 5,086.58 and 1,441.82 is: 2,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.62 : 5,086.58 = 1,441.82 : x
  2. Step 2: Convert to fraction form
    3,389.62/5,086.58 = 1,441.82/x
  3. Step 3: Cross multiply
    3,389.62x = 5,086.58 × 1,441.82
  4. Step 4: Simplify right side
    3,389.62x = 7,333,932.78
  5. Step 5: Solve for x
    x = 7,333,932.78/3,389.62
  6. Step 6: Final answer
    x = 2,163.64

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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.