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Finding the Fourth Proportional to 3,489.32, 4,814.56 and 1,997.16

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Solution

The fourth proportional to 3,489.32, 4,814.56 and 1,997.16 is: 2,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.32 : 4,814.56 = 1,997.16 : x
  2. Step 2: Convert to fraction form
    3,489.32/4,814.56 = 1,997.16/x
  3. Step 3: Cross multiply
    3,489.32x = 4,814.56 × 1,997.16
  4. Step 4: Simplify right side
    3,489.32x = 9,615,446.65
  5. Step 5: Solve for x
    x = 9,615,446.65/3,489.32
  6. Step 6: Final answer
    x = 2,755.68

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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.