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Finding the Fourth Proportional to 4,361.56, 6,542.22 and 1,074.64

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Solution

The fourth proportional to 4,361.56, 6,542.22 and 1,074.64 is: 1,611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.56 : 6,542.22 = 1,074.64 : x
  2. Step 2: Convert to fraction form
    4,361.56/6,542.22 = 1,074.64/x
  3. Step 3: Cross multiply
    4,361.56x = 6,542.22 × 1,074.64
  4. Step 4: Simplify right side
    4,361.56x = 7,030,531.30
  5. Step 5: Solve for x
    x = 7,030,531.30/4,361.56
  6. Step 6: Final answer
    x = 1,611.93

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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.