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Finding the Fourth Proportional to 3,496.94, 5,245.46 and 1,389.09

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Solution

The fourth proportional to 3,496.94, 5,245.46 and 1,389.09 is: 2,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.94 : 5,245.46 = 1,389.09 : x
  2. Step 2: Convert to fraction form
    3,496.94/5,245.46 = 1,389.09/x
  3. Step 3: Cross multiply
    3,496.94x = 5,245.46 × 1,389.09
  4. Step 4: Simplify right side
    3,496.94x = 7,286,416.03
  5. Step 5: Solve for x
    x = 7,286,416.03/3,496.94
  6. Step 6: Final answer
    x = 2,083.65

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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.