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Finding the Fourth Proportional to 3,297.45, 4,947.11 and 1,351.05

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Solution

The fourth proportional to 3,297.45, 4,947.11 and 1,351.05 is: 2,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.45 : 4,947.11 = 1,351.05 : x
  2. Step 2: Convert to fraction form
    3,297.45/4,947.11 = 1,351.05/x
  3. Step 3: Cross multiply
    3,297.45x = 4,947.11 × 1,351.05
  4. Step 4: Simplify right side
    3,297.45x = 6,683,786.21
  5. Step 5: Solve for x
    x = 6,683,786.21/3,297.45
  6. Step 6: Final answer
    x = 2,026.96

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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.