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Finding the Fourth Proportional to 3,489.77, 4,814.69 and 2,162.99

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Solution

The fourth proportional to 3,489.77, 4,814.69 and 2,162.99 is: 2,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.77 : 4,814.69 = 2,162.99 : x
  2. Step 2: Convert to fraction form
    3,489.77/4,814.69 = 2,162.99/x
  3. Step 3: Cross multiply
    3,489.77x = 4,814.69 × 2,162.99
  4. Step 4: Simplify right side
    3,489.77x = 10,414,091.43
  5. Step 5: Solve for x
    x = 10,414,091.43/3,489.77
  6. Step 6: Final answer
    x = 2,984.18

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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.