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Finding the Fourth Proportional to 3,676.42, 5,072.31 and 2,104.21

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Solution

The fourth proportional to 3,676.42, 5,072.31 and 2,104.21 is: 2,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.42 : 5,072.31 = 2,104.21 : x
  2. Step 2: Convert to fraction form
    3,676.42/5,072.31 = 2,104.21/x
  3. Step 3: Cross multiply
    3,676.42x = 5,072.31 × 2,104.21
  4. Step 4: Simplify right side
    3,676.42x = 10,673,205.43
  5. Step 5: Solve for x
    x = 10,673,205.43/3,676.42
  6. Step 6: Final answer
    x = 2,903.15

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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.