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Finding the Fourth Proportional to 3,106.69, 4,286.07 and 1,847.79

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Solution

The fourth proportional to 3,106.69, 4,286.07 and 1,847.79 is: 2,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.69 : 4,286.07 = 1,847.79 : x
  2. Step 2: Convert to fraction form
    3,106.69/4,286.07 = 1,847.79/x
  3. Step 3: Cross multiply
    3,106.69x = 4,286.07 × 1,847.79
  4. Step 4: Simplify right side
    3,106.69x = 7,919,757.29
  5. Step 5: Solve for x
    x = 7,919,757.29/3,106.69
  6. Step 6: Final answer
    x = 2,549.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.