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Finding the Fourth Proportional to 3,511.88, 5,268.90 and 2,107.86

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Solution

The fourth proportional to 3,511.88, 5,268.90 and 2,107.86 is: 3,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.88 : 5,268.90 = 2,107.86 : x
  2. Step 2: Convert to fraction form
    3,511.88/5,268.90 = 2,107.86/x
  3. Step 3: Cross multiply
    3,511.88x = 5,268.90 × 2,107.86
  4. Step 4: Simplify right side
    3,511.88x = 11,106,103.55
  5. Step 5: Solve for x
    x = 11,106,103.55/3,511.88
  6. Step 6: Final answer
    x = 3,162.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.