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Finding the Fourth Proportional to 3,946.94, 5,919.56 and 1,481.94

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Solution

The fourth proportional to 3,946.94, 5,919.56 and 1,481.94 is: 2,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.94 : 5,919.56 = 1,481.94 : x
  2. Step 2: Convert to fraction form
    3,946.94/5,919.56 = 1,481.94/x
  3. Step 3: Cross multiply
    3,946.94x = 5,919.56 × 1,481.94
  4. Step 4: Simplify right side
    3,946.94x = 8,772,430.89
  5. Step 5: Solve for x
    x = 8,772,430.89/3,946.94
  6. Step 6: Final answer
    x = 2,222.59

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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.