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Finding the Fourth Proportional to 3,847.16, 5,770.11 and 1,074.02

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Solution

The fourth proportional to 3,847.16, 5,770.11 and 1,074.02 is: 1,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.16 : 5,770.11 = 1,074.02 : x
  2. Step 2: Convert to fraction form
    3,847.16/5,770.11 = 1,074.02/x
  3. Step 3: Cross multiply
    3,847.16x = 5,770.11 × 1,074.02
  4. Step 4: Simplify right side
    3,847.16x = 6,197,213.54
  5. Step 5: Solve for x
    x = 6,197,213.54/3,847.16
  6. Step 6: Final answer
    x = 1,610.85

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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.