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Finding the Fourth Proportional to 4,361.56, 6,542.14 and 1,074.68

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Solution

The fourth proportional to 4,361.56, 6,542.14 and 1,074.68 is: 1,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.56 : 6,542.14 = 1,074.68 : x
  2. Step 2: Convert to fraction form
    4,361.56/6,542.14 = 1,074.68/x
  3. Step 3: Cross multiply
    4,361.56x = 6,542.14 × 1,074.68
  4. Step 4: Simplify right side
    4,361.56x = 7,030,707.02
  5. Step 5: Solve for x
    x = 7,030,707.02/4,361.56
  6. Step 6: Final answer
    x = 1,611.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.