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Finding the Fourth Proportional to 4,940.40, 6,816.96 and 2,844.48

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Solution

The fourth proportional to 4,940.40, 6,816.96 and 2,844.48 is: 3,924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.40 : 6,816.96 = 2,844.48 : x
  2. Step 2: Convert to fraction form
    4,940.40/6,816.96 = 2,844.48/x
  3. Step 3: Cross multiply
    4,940.40x = 6,816.96 × 2,844.48
  4. Step 4: Simplify right side
    4,940.40x = 19,390,706.38
  5. Step 5: Solve for x
    x = 19,390,706.38/4,940.40
  6. Step 6: Final answer
    x = 3,924.93

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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.