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Finding the Fourth Proportional to 4,940, 6,818 and 2,845.36

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Solution

The fourth proportional to 4,940, 6,818 and 2,845.36 is: 3,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940 : 6,818 = 2,845.36 : x
  2. Step 2: Convert to fraction form
    4,940/6,818 = 2,845.36/x
  3. Step 3: Cross multiply
    4,940x = 6,818 × 2,845.36
  4. Step 4: Simplify right side
    4,940x = 19,399,664.48
  5. Step 5: Solve for x
    x = 19,399,664.48/4,940
  6. Step 6: Final answer
    x = 3,927.06

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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.