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Finding the Fourth Proportional to 4,872.36, 7,302.06 and 2,793

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Solution

The fourth proportional to 4,872.36, 7,302.06 and 2,793 is: 4,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.36 : 7,302.06 = 2,793 : x
  2. Step 2: Convert to fraction form
    4,872.36/7,302.06 = 2,793/x
  3. Step 3: Cross multiply
    4,872.36x = 7,302.06 × 2,793
  4. Step 4: Simplify right side
    4,872.36x = 20,394,653.58
  5. Step 5: Solve for x
    x = 20,394,653.58/4,872.36
  6. Step 6: Final answer
    x = 4,185.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.