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Finding the Fourth Proportional to 3,297.02, 4,922.02 and 3,181.66

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Solution

The fourth proportional to 3,297.02, 4,922.02 and 3,181.66 is: 4,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.02 : 4,922.02 = 3,181.66 : x
  2. Step 2: Convert to fraction form
    3,297.02/4,922.02 = 3,181.66/x
  3. Step 3: Cross multiply
    3,297.02x = 4,922.02 × 3,181.66
  4. Step 4: Simplify right side
    3,297.02x = 15,660,194.15
  5. Step 5: Solve for x
    x = 15,660,194.15/3,297.02
  6. Step 6: Final answer
    x = 4,749.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.