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Finding the Fourth Proportional to 3,489.52, 4,814.34 and 2,162.74

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Solution

The fourth proportional to 3,489.52, 4,814.34 and 2,162.74 is: 2,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.52 : 4,814.34 = 2,162.74 : x
  2. Step 2: Convert to fraction form
    3,489.52/4,814.34 = 2,162.74/x
  3. Step 3: Cross multiply
    3,489.52x = 4,814.34 × 2,162.74
  4. Step 4: Simplify right side
    3,489.52x = 10,412,141.62
  5. Step 5: Solve for x
    x = 10,412,141.62/3,489.52
  6. Step 6: Final answer
    x = 2,983.84

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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.