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Finding the Fourth Proportional to 3,489.01, 4,814.49 and 2,072.44

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Solution

The fourth proportional to 3,489.01, 4,814.49 and 2,072.44 is: 2,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.01 : 4,814.49 = 2,072.44 : x
  2. Step 2: Convert to fraction form
    3,489.01/4,814.49 = 2,072.44/x
  3. Step 3: Cross multiply
    3,489.01x = 4,814.49 × 2,072.44
  4. Step 4: Simplify right side
    3,489.01x = 9,977,741.66
  5. Step 5: Solve for x
    x = 9,977,741.66/3,489.01
  6. Step 6: Final answer
    x = 2,859.76

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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.