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Finding the Fourth Proportional to 5,806.49, 8,715.20 and 2,112.28

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Solution

The fourth proportional to 5,806.49, 8,715.20 and 2,112.28 is: 3,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.49 : 8,715.20 = 2,112.28 : x
  2. Step 2: Convert to fraction form
    5,806.49/8,715.20 = 2,112.28/x
  3. Step 3: Cross multiply
    5,806.49x = 8,715.20 × 2,112.28
  4. Step 4: Simplify right side
    5,806.49x = 18,408,910.31
  5. Step 5: Solve for x
    x = 18,408,910.31/5,806.49
  6. Step 6: Final answer
    x = 3,170.41

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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.