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Finding the Fourth Proportional to 5,493.07, 8,223.42 and 3,406.38

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Solution

The fourth proportional to 5,493.07, 8,223.42 and 3,406.38 is: 5,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.07 : 8,223.42 = 3,406.38 : x
  2. Step 2: Convert to fraction form
    5,493.07/8,223.42 = 3,406.38/x
  3. Step 3: Cross multiply
    5,493.07x = 8,223.42 × 3,406.38
  4. Step 4: Simplify right side
    5,493.07x = 28,012,093.42
  5. Step 5: Solve for x
    x = 28,012,093.42/5,493.07
  6. Step 6: Final answer
    x = 5,099.53

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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.