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Finding the Fourth Proportional to 3,297.42, 4,947.78 and 1,542.54

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Solution

The fourth proportional to 3,297.42, 4,947.78 and 1,542.54 is: 2,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.42 : 4,947.78 = 1,542.54 : x
  2. Step 2: Convert to fraction form
    3,297.42/4,947.78 = 1,542.54/x
  3. Step 3: Cross multiply
    3,297.42x = 4,947.78 × 1,542.54
  4. Step 4: Simplify right side
    3,297.42x = 7,632,148.56
  5. Step 5: Solve for x
    x = 7,632,148.56/3,297.42
  6. Step 6: Final answer
    x = 2,314.58

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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.