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Finding the Fourth Proportional to 3,694.49, 5,538.86 and 1,844.68

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Solution

The fourth proportional to 3,694.49, 5,538.86 and 1,844.68 is: 2,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.49 : 5,538.86 = 1,844.68 : x
  2. Step 2: Convert to fraction form
    3,694.49/5,538.86 = 1,844.68/x
  3. Step 3: Cross multiply
    3,694.49x = 5,538.86 × 1,844.68
  4. Step 4: Simplify right side
    3,694.49x = 10,217,408.11
  5. Step 5: Solve for x
    x = 10,217,408.11/3,694.49
  6. Step 6: Final answer
    x = 2,765.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.