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Finding the Fourth Proportional to 3,845.05, 5,765.53 and 1,991.57

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Solution

The fourth proportional to 3,845.05, 5,765.53 and 1,991.57 is: 2,986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.05 : 5,765.53 = 1,991.57 : x
  2. Step 2: Convert to fraction form
    3,845.05/5,765.53 = 1,991.57/x
  3. Step 3: Cross multiply
    3,845.05x = 5,765.53 × 1,991.57
  4. Step 4: Simplify right side
    3,845.05x = 11,482,432.21
  5. Step 5: Solve for x
    x = 11,482,432.21/3,845.05
  6. Step 6: Final answer
    x = 2,986.29

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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.