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Finding the Fourth Proportional to 5,494.26, 8,242.94 and 2,209.67

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Solution

The fourth proportional to 5,494.26, 8,242.94 and 2,209.67 is: 3,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.26 : 8,242.94 = 2,209.67 : x
  2. Step 2: Convert to fraction form
    5,494.26/8,242.94 = 2,209.67/x
  3. Step 3: Cross multiply
    5,494.26x = 8,242.94 × 2,209.67
  4. Step 4: Simplify right side
    5,494.26x = 18,214,177.23
  5. Step 5: Solve for x
    x = 18,214,177.23/5,494.26
  6. Step 6: Final answer
    x = 3,315.13

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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.