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Finding the Fourth Proportional to 2,834.70, 3,887.48 and 2,716.44

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Solution

The fourth proportional to 2,834.70, 3,887.48 and 2,716.44 is: 3,725.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.70 : 3,887.48 = 2,716.44 : x
  2. Step 2: Convert to fraction form
    2,834.70/3,887.48 = 2,716.44/x
  3. Step 3: Cross multiply
    2,834.70x = 3,887.48 × 2,716.44
  4. Step 4: Simplify right side
    2,834.70x = 10,560,106.17
  5. Step 5: Solve for x
    x = 10,560,106.17/2,834.70
  6. Step 6: Final answer
    x = 3,725.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.