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Finding the Fourth Proportional to 3,511.92, 5,271.12 and 3,324.48

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Solution

The fourth proportional to 3,511.92, 5,271.12 and 3,324.48 is: 4,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.92 : 5,271.12 = 3,324.48 : x
  2. Step 2: Convert to fraction form
    3,511.92/5,271.12 = 3,324.48/x
  3. Step 3: Cross multiply
    3,511.92x = 5,271.12 × 3,324.48
  4. Step 4: Simplify right side
    3,511.92x = 17,523,733.02
  5. Step 5: Solve for x
    x = 17,523,733.02/3,511.92
  6. Step 6: Final answer
    x = 4,989.79

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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.