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Finding the Fourth Proportional to 5,491.86, 8,239.59 and 2,204.07

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Solution

The fourth proportional to 5,491.86, 8,239.59 and 2,204.07 is: 3,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.86 : 8,239.59 = 2,204.07 : x
  2. Step 2: Convert to fraction form
    5,491.86/8,239.59 = 2,204.07/x
  3. Step 3: Cross multiply
    5,491.86x = 8,239.59 × 2,204.07
  4. Step 4: Simplify right side
    5,491.86x = 18,160,633.13
  5. Step 5: Solve for x
    x = 18,160,633.13/5,491.86
  6. Step 6: Final answer
    x = 3,306.83

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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.