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Finding the Fourth Proportional to 3,463, 4,778.94 and 1,891.09

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Solution

The fourth proportional to 3,463, 4,778.94 and 1,891.09 is: 2,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463 : 4,778.94 = 1,891.09 : x
  2. Step 2: Convert to fraction form
    3,463/4,778.94 = 1,891.09/x
  3. Step 3: Cross multiply
    3,463x = 4,778.94 × 1,891.09
  4. Step 4: Simplify right side
    3,463x = 9,037,405.64
  5. Step 5: Solve for x
    x = 9,037,405.64/3,463
  6. Step 6: Final answer
    x = 2,609.70

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Why These Related Problems?

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