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Finding the Fourth Proportional to 3,414.81, 4,713.21 and 2,089.62

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Solution

The fourth proportional to 3,414.81, 4,713.21 and 2,089.62 is: 2,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.81 : 4,713.21 = 2,089.62 : x
  2. Step 2: Convert to fraction form
    3,414.81/4,713.21 = 2,089.62/x
  3. Step 3: Cross multiply
    3,414.81x = 4,713.21 × 2,089.62
  4. Step 4: Simplify right side
    3,414.81x = 9,848,817.88
  5. Step 5: Solve for x
    x = 9,848,817.88/3,414.81
  6. Step 6: Final answer
    x = 2,884.15

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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.