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Finding the Fourth Proportional to 5,408.49, 8,112.03 and 1,711.10

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Solution

The fourth proportional to 5,408.49, 8,112.03 and 1,711.10 is: 2,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.49 : 8,112.03 = 1,711.10 : x
  2. Step 2: Convert to fraction form
    5,408.49/8,112.03 = 1,711.10/x
  3. Step 3: Cross multiply
    5,408.49x = 8,112.03 × 1,711.10
  4. Step 4: Simplify right side
    5,408.49x = 13,880,453.97
  5. Step 5: Solve for x
    x = 13,880,453.97/5,408.49
  6. Step 6: Final answer
    x = 2,566.42

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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.