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Finding the Fourth Proportional to 5,384.75, 8,072.33 and 2,100.33

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Solution

The fourth proportional to 5,384.75, 8,072.33 and 2,100.33 is: 3,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.75 : 8,072.33 = 2,100.33 : x
  2. Step 2: Convert to fraction form
    5,384.75/8,072.33 = 2,100.33/x
  3. Step 3: Cross multiply
    5,384.75x = 8,072.33 × 2,100.33
  4. Step 4: Simplify right side
    5,384.75x = 16,954,546.37
  5. Step 5: Solve for x
    x = 16,954,546.37/5,384.75
  6. Step 6: Final answer
    x = 3,148.63

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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.