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Finding the Fourth Proportional to 4,922.78, 6,794.16 and 3,243.92

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Solution

The fourth proportional to 4,922.78, 6,794.16 and 3,243.92 is: 4,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.78 : 6,794.16 = 3,243.92 : x
  2. Step 2: Convert to fraction form
    4,922.78/6,794.16 = 3,243.92/x
  3. Step 3: Cross multiply
    4,922.78x = 6,794.16 × 3,243.92
  4. Step 4: Simplify right side
    4,922.78x = 22,039,711.51
  5. Step 5: Solve for x
    x = 22,039,711.51/4,922.78
  6. Step 6: Final answer
    x = 4,477.09

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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.