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Finding the Fourth Proportional to 4,361.62, 6,542.38 and 1,074.68

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Solution

The fourth proportional to 4,361.62, 6,542.38 and 1,074.68 is: 1,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.62 : 6,542.38 = 1,074.68 : x
  2. Step 2: Convert to fraction form
    4,361.62/6,542.38 = 1,074.68/x
  3. Step 3: Cross multiply
    4,361.62x = 6,542.38 × 1,074.68
  4. Step 4: Simplify right side
    4,361.62x = 7,030,964.94
  5. Step 5: Solve for x
    x = 7,030,964.94/4,361.62
  6. Step 6: Final answer
    x = 1,612.01

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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.