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Finding the Fourth Proportional to 3,398.14, 5,074.21 and 2,696.94

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Solution

The fourth proportional to 3,398.14, 5,074.21 and 2,696.94 is: 4,027.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.14 : 5,074.21 = 2,696.94 : x
  2. Step 2: Convert to fraction form
    3,398.14/5,074.21 = 2,696.94/x
  3. Step 3: Cross multiply
    3,398.14x = 5,074.21 × 2,696.94
  4. Step 4: Simplify right side
    3,398.14x = 13,684,839.92
  5. Step 5: Solve for x
    x = 13,684,839.92/3,398.14
  6. Step 6: Final answer
    x = 4,027.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.