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Finding the Fourth Proportional to 3,396.37, 5,093.94 and 1,175.20

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Solution

The fourth proportional to 3,396.37, 5,093.94 and 1,175.20 is: 1,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.37 : 5,093.94 = 1,175.20 : x
  2. Step 2: Convert to fraction form
    3,396.37/5,093.94 = 1,175.20/x
  3. Step 3: Cross multiply
    3,396.37x = 5,093.94 × 1,175.20
  4. Step 4: Simplify right side
    3,396.37x = 5,986,398.29
  5. Step 5: Solve for x
    x = 5,986,398.29/3,396.37
  6. Step 6: Final answer
    x = 1,762.59

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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.