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Finding the Fourth Proportional to 4,930.74, 6,804.41 and 2,941.38

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Solution

The fourth proportional to 4,930.74, 6,804.41 and 2,941.38 is: 4,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.74 : 6,804.41 = 2,941.38 : x
  2. Step 2: Convert to fraction form
    4,930.74/6,804.41 = 2,941.38/x
  3. Step 3: Cross multiply
    4,930.74x = 6,804.41 × 2,941.38
  4. Step 4: Simplify right side
    4,930.74x = 20,014,340.78
  5. Step 5: Solve for x
    x = 20,014,340.78/4,930.74
  6. Step 6: Final answer
    x = 4,059.09

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Why These Related Problems?

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