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Finding the Fourth Proportional to 3,699.58, 5,104.96 and 2,106.44

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Solution

The fourth proportional to 3,699.58, 5,104.96 and 2,106.44 is: 2,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.58 : 5,104.96 = 2,106.44 : x
  2. Step 2: Convert to fraction form
    3,699.58/5,104.96 = 2,106.44/x
  3. Step 3: Cross multiply
    3,699.58x = 5,104.96 × 2,106.44
  4. Step 4: Simplify right side
    3,699.58x = 10,753,269.05
  5. Step 5: Solve for x
    x = 10,753,269.05/3,699.58
  6. Step 6: Final answer
    x = 2,906.62

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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.