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Finding the Fourth Proportional to 3,338.67, 5,007.42 and 1,147.44

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Solution

The fourth proportional to 3,338.67, 5,007.42 and 1,147.44 is: 1,720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.67 : 5,007.42 = 1,147.44 : x
  2. Step 2: Convert to fraction form
    3,338.67/5,007.42 = 1,147.44/x
  3. Step 3: Cross multiply
    3,338.67x = 5,007.42 × 1,147.44
  4. Step 4: Simplify right side
    3,338.67x = 5,745,714.00
  5. Step 5: Solve for x
    x = 5,745,714.00/3,338.67
  6. Step 6: Final answer
    x = 1,720.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.