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Finding the Fourth Proportional to 3,511.97, 4,846.39 and 2,114.45

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Solution

The fourth proportional to 3,511.97, 4,846.39 and 2,114.45 is: 2,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.97 : 4,846.39 = 2,114.45 : x
  2. Step 2: Convert to fraction form
    3,511.97/4,846.39 = 2,114.45/x
  3. Step 3: Cross multiply
    3,511.97x = 4,846.39 × 2,114.45
  4. Step 4: Simplify right side
    3,511.97x = 10,247,449.34
  5. Step 5: Solve for x
    x = 10,247,449.34/3,511.97
  6. Step 6: Final answer
    x = 2,917.86

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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.