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Finding the Fourth Proportional to 3,847.84, 5,771.80 and 1,074.52

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Solution

The fourth proportional to 3,847.84, 5,771.80 and 1,074.52 is: 1,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.84 : 5,771.80 = 1,074.52 : x
  2. Step 2: Convert to fraction form
    3,847.84/5,771.80 = 1,074.52/x
  3. Step 3: Cross multiply
    3,847.84x = 5,771.80 × 1,074.52
  4. Step 4: Simplify right side
    3,847.84x = 6,201,914.54
  5. Step 5: Solve for x
    x = 6,201,914.54/3,847.84
  6. Step 6: Final answer
    x = 1,611.79

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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.