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Finding the Fourth Proportional to 4,103.77, 6,149.53 and 1,912.09

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Solution

The fourth proportional to 4,103.77, 6,149.53 and 1,912.09 is: 2,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.77 : 6,149.53 = 1,912.09 : x
  2. Step 2: Convert to fraction form
    4,103.77/6,149.53 = 1,912.09/x
  3. Step 3: Cross multiply
    4,103.77x = 6,149.53 × 1,912.09
  4. Step 4: Simplify right side
    4,103.77x = 11,758,454.82
  5. Step 5: Solve for x
    x = 11,758,454.82/4,103.77
  6. Step 6: Final answer
    x = 2,865.28

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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.