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Finding the Fourth Proportional to 3,946.89, 5,917.89 and 1,865.61

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Solution

The fourth proportional to 3,946.89, 5,917.89 and 1,865.61 is: 2,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.89 : 5,917.89 = 1,865.61 : x
  2. Step 2: Convert to fraction form
    3,946.89/5,917.89 = 1,865.61/x
  3. Step 3: Cross multiply
    3,946.89x = 5,917.89 × 1,865.61
  4. Step 4: Simplify right side
    3,946.89x = 11,040,474.76
  5. Step 5: Solve for x
    x = 11,040,474.76/3,946.89
  6. Step 6: Final answer
    x = 2,797.26

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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.