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Finding the Fourth Proportional to 4,930.70, 6,804.20 and 2,940.24

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Solution

The fourth proportional to 4,930.70, 6,804.20 and 2,940.24 is: 4,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.70 : 6,804.20 = 2,940.24 : x
  2. Step 2: Convert to fraction form
    4,930.70/6,804.20 = 2,940.24/x
  3. Step 3: Cross multiply
    4,930.70x = 6,804.20 × 2,940.24
  4. Step 4: Simplify right side
    4,930.70x = 20,005,981.01
  5. Step 5: Solve for x
    x = 20,005,981.01/4,930.70
  6. Step 6: Final answer
    x = 4,057.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.