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Finding the Fourth Proportional to 3,367.85, 5,052.17 and 1,147.05

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Solution

The fourth proportional to 3,367.85, 5,052.17 and 1,147.05 is: 1,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.85 : 5,052.17 = 1,147.05 : x
  2. Step 2: Convert to fraction form
    3,367.85/5,052.17 = 1,147.05/x
  3. Step 3: Cross multiply
    3,367.85x = 5,052.17 × 1,147.05
  4. Step 4: Simplify right side
    3,367.85x = 5,795,094.47
  5. Step 5: Solve for x
    x = 5,795,094.47/3,367.85
  6. Step 6: Final answer
    x = 1,720.71

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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.