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Finding the Fourth Proportional to 5,491.69, 8,238.57 and 2,205.03

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Solution

The fourth proportional to 5,491.69, 8,238.57 and 2,205.03 is: 3,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.69 : 8,238.57 = 2,205.03 : x
  2. Step 2: Convert to fraction form
    5,491.69/8,238.57 = 2,205.03/x
  3. Step 3: Cross multiply
    5,491.69x = 8,238.57 × 2,205.03
  4. Step 4: Simplify right side
    5,491.69x = 18,166,316.63
  5. Step 5: Solve for x
    x = 18,166,316.63/5,491.69
  6. Step 6: Final answer
    x = 3,307.97

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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.