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Finding the Fourth Proportional to 3,847.58, 5,770.46 and 1,074.34

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Solution

The fourth proportional to 3,847.58, 5,770.46 and 1,074.34 is: 1,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.58 : 5,770.46 = 1,074.34 : x
  2. Step 2: Convert to fraction form
    3,847.58/5,770.46 = 1,074.34/x
  3. Step 3: Cross multiply
    3,847.58x = 5,770.46 × 1,074.34
  4. Step 4: Simplify right side
    3,847.58x = 6,199,436.00
  5. Step 5: Solve for x
    x = 6,199,436.00/3,847.58
  6. Step 6: Final answer
    x = 1,611.26

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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.