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Finding the Fourth Proportional to 5,492.88, 8,240.36 and 2,206.23

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Solution

The fourth proportional to 5,492.88, 8,240.36 and 2,206.23 is: 3,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.88 : 8,240.36 = 2,206.23 : x
  2. Step 2: Convert to fraction form
    5,492.88/8,240.36 = 2,206.23/x
  3. Step 3: Cross multiply
    5,492.88x = 8,240.36 × 2,206.23
  4. Step 4: Simplify right side
    5,492.88x = 18,180,129.44
  5. Step 5: Solve for x
    x = 18,180,129.44/5,492.88
  6. Step 6: Final answer
    x = 3,309.76

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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.