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Finding the Fourth Proportional to 3,489.48, 4,814.29 and 1,996.33

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Solution

The fourth proportional to 3,489.48, 4,814.29 and 1,996.33 is: 2,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.48 : 4,814.29 = 1,996.33 : x
  2. Step 2: Convert to fraction form
    3,489.48/4,814.29 = 1,996.33/x
  3. Step 3: Cross multiply
    3,489.48x = 4,814.29 × 1,996.33
  4. Step 4: Simplify right side
    3,489.48x = 9,610,911.56
  5. Step 5: Solve for x
    x = 9,610,911.56/3,489.48
  6. Step 6: Final answer
    x = 2,754.25

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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.