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Finding the Fourth Proportional to 5,491.79, 8,238.71 and 2,205.14

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Solution

The fourth proportional to 5,491.79, 8,238.71 and 2,205.14 is: 3,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.79 : 8,238.71 = 2,205.14 : x
  2. Step 2: Convert to fraction form
    5,491.79/8,238.71 = 2,205.14/x
  3. Step 3: Cross multiply
    5,491.79x = 8,238.71 × 2,205.14
  4. Step 4: Simplify right side
    5,491.79x = 18,167,473.29
  5. Step 5: Solve for x
    x = 18,167,473.29/5,491.79
  6. Step 6: Final answer
    x = 3,308.12

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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.