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Finding the Fourth Proportional to 3,946.65, 5,916.93 and 1,481.41

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Solution

The fourth proportional to 3,946.65, 5,916.93 and 1,481.41 is: 2,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.65 : 5,916.93 = 1,481.41 : x
  2. Step 2: Convert to fraction form
    3,946.65/5,916.93 = 1,481.41/x
  3. Step 3: Cross multiply
    3,946.65x = 5,916.93 × 1,481.41
  4. Step 4: Simplify right side
    3,946.65x = 8,765,399.27
  5. Step 5: Solve for x
    x = 8,765,399.27/3,946.65
  6. Step 6: Final answer
    x = 2,220.97

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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.