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Finding the Fourth Proportional to 5,940.70, 8,916.86 and 2,822.80

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Solution

The fourth proportional to 5,940.70, 8,916.86 and 2,822.80 is: 4,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.70 : 8,916.86 = 2,822.80 : x
  2. Step 2: Convert to fraction form
    5,940.70/8,916.86 = 2,822.80/x
  3. Step 3: Cross multiply
    5,940.70x = 8,916.86 × 2,822.80
  4. Step 4: Simplify right side
    5,940.70x = 25,170,512.41
  5. Step 5: Solve for x
    x = 25,170,512.41/5,940.70
  6. Step 6: Final answer
    x = 4,236.96

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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.