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Finding the Fourth Proportional to 3,847.02, 5,770.57 and 1,381.78

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Solution

The fourth proportional to 3,847.02, 5,770.57 and 1,381.78 is: 2,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.02 : 5,770.57 = 1,381.78 : x
  2. Step 2: Convert to fraction form
    3,847.02/5,770.57 = 1,381.78/x
  3. Step 3: Cross multiply
    3,847.02x = 5,770.57 × 1,381.78
  4. Step 4: Simplify right side
    3,847.02x = 7,973,658.21
  5. Step 5: Solve for x
    x = 7,973,658.21/3,847.02
  6. Step 6: Final answer
    x = 2,072.68

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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.