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Finding the Fourth Proportional to 3,896.00, 5,845.70 and 2,046.69

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Solution

The fourth proportional to 3,896.00, 5,845.70 and 2,046.69 is: 3,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.00 : 5,845.70 = 2,046.69 : x
  2. Step 2: Convert to fraction form
    3,896.00/5,845.70 = 2,046.69/x
  3. Step 3: Cross multiply
    3,896.00x = 5,845.70 × 2,046.69
  4. Step 4: Simplify right side
    3,896.00x = 11,964,340.85
  5. Step 5: Solve for x
    x = 11,964,340.85/3,896.00
  6. Step 6: Final answer
    x = 3,070.93

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Why These Related Problems?

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