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Finding the Fourth Proportional to 3,745.02, 5,618.42 and 1,147.94

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Solution

The fourth proportional to 3,745.02, 5,618.42 and 1,147.94 is: 1,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.02 : 5,618.42 = 1,147.94 : x
  2. Step 2: Convert to fraction form
    3,745.02/5,618.42 = 1,147.94/x
  3. Step 3: Cross multiply
    3,745.02x = 5,618.42 × 1,147.94
  4. Step 4: Simplify right side
    3,745.02x = 6,449,609.05
  5. Step 5: Solve for x
    x = 6,449,609.05/3,745.02
  6. Step 6: Final answer
    x = 1,722.18

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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.