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Finding the Fourth Proportional to 3,694.49, 5,538.13 and 2,047.59

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Solution

The fourth proportional to 3,694.49, 5,538.13 and 2,047.59 is: 3,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.49 : 5,538.13 = 2,047.59 : x
  2. Step 2: Convert to fraction form
    3,694.49/5,538.13 = 2,047.59/x
  3. Step 3: Cross multiply
    3,694.49x = 5,538.13 × 2,047.59
  4. Step 4: Simplify right side
    3,694.49x = 11,339,819.61
  5. Step 5: Solve for x
    x = 11,339,819.61/3,694.49
  6. Step 6: Final answer
    x = 3,069.39

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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.