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Finding the Fourth Proportional to 3,849.57, 5,770.42 and 1,350.01

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Solution

The fourth proportional to 3,849.57, 5,770.42 and 1,350.01 is: 2,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.57 : 5,770.42 = 1,350.01 : x
  2. Step 2: Convert to fraction form
    3,849.57/5,770.42 = 1,350.01/x
  3. Step 3: Cross multiply
    3,849.57x = 5,770.42 × 1,350.01
  4. Step 4: Simplify right side
    3,849.57x = 7,790,124.70
  5. Step 5: Solve for x
    x = 7,790,124.70/3,849.57
  6. Step 6: Final answer
    x = 2,023.64

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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.