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Finding the Fourth Proportional to 4,928.82, 6,801.86 and 2,940.54

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Solution

The fourth proportional to 4,928.82, 6,801.86 and 2,940.54 is: 4,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.82 : 6,801.86 = 2,940.54 : x
  2. Step 2: Convert to fraction form
    4,928.82/6,801.86 = 2,940.54/x
  3. Step 3: Cross multiply
    4,928.82x = 6,801.86 × 2,940.54
  4. Step 4: Simplify right side
    4,928.82x = 20,001,126.70
  5. Step 5: Solve for x
    x = 20,001,126.70/4,928.82
  6. Step 6: Final answer
    x = 4,057.99

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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.