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Finding the Fourth Proportional to 3,361.42, 5,040.60 and 1,412.56

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Solution

The fourth proportional to 3,361.42, 5,040.60 and 1,412.56 is: 2,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.42 : 5,040.60 = 1,412.56 : x
  2. Step 2: Convert to fraction form
    3,361.42/5,040.60 = 1,412.56/x
  3. Step 3: Cross multiply
    3,361.42x = 5,040.60 × 1,412.56
  4. Step 4: Simplify right side
    3,361.42x = 7,120,149.94
  5. Step 5: Solve for x
    x = 7,120,149.94/3,361.42
  6. Step 6: Final answer
    x = 2,118.20

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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.