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Finding the Fourth Proportional to 3,681.89, 5,080.13 and 2,489.09

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Solution

The fourth proportional to 3,681.89, 5,080.13 and 2,489.09 is: 3,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.89 : 5,080.13 = 2,489.09 : x
  2. Step 2: Convert to fraction form
    3,681.89/5,080.13 = 2,489.09/x
  3. Step 3: Cross multiply
    3,681.89x = 5,080.13 × 2,489.09
  4. Step 4: Simplify right side
    3,681.89x = 12,644,901.04
  5. Step 5: Solve for x
    x = 12,644,901.04/3,681.89
  6. Step 6: Final answer
    x = 3,434.36

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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.