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Finding the Fourth Proportional to 3,486, 4,811.76 and 2,244

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Solution

The fourth proportional to 3,486, 4,811.76 and 2,244 is: 3,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486 : 4,811.76 = 2,244 : x
  2. Step 2: Convert to fraction form
    3,486/4,811.76 = 2,244/x
  3. Step 3: Cross multiply
    3,486x = 4,811.76 × 2,244
  4. Step 4: Simplify right side
    3,486x = 10,797,589.44
  5. Step 5: Solve for x
    x = 10,797,589.44/3,486
  6. Step 6: Final answer
    x = 3,097.42

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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.