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Finding the Fourth Proportional to 4,902.18, 6,766.38 and 4,020.09

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Solution

The fourth proportional to 4,902.18, 6,766.38 and 4,020.09 is: 5,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.18 : 6,766.38 = 4,020.09 : x
  2. Step 2: Convert to fraction form
    4,902.18/6,766.38 = 4,020.09/x
  3. Step 3: Cross multiply
    4,902.18x = 6,766.38 × 4,020.09
  4. Step 4: Simplify right side
    4,902.18x = 27,201,422.74
  5. Step 5: Solve for x
    x = 27,201,422.74/4,902.18
  6. Step 6: Final answer
    x = 5,548.85

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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.