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Finding the Fourth Proportional to 4,546.92, 6,822.44 and 2,205.64

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Solution

The fourth proportional to 4,546.92, 6,822.44 and 2,205.64 is: 3,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.92 : 6,822.44 = 2,205.64 : x
  2. Step 2: Convert to fraction form
    4,546.92/6,822.44 = 2,205.64/x
  3. Step 3: Cross multiply
    4,546.92x = 6,822.44 × 2,205.64
  4. Step 4: Simplify right side
    4,546.92x = 15,047,846.56
  5. Step 5: Solve for x
    x = 15,047,846.56/4,546.92
  6. Step 6: Final answer
    x = 3,309.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.