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Finding the Fourth Proportional to 4,902.93, 6,764.38 and 2,778.23

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Solution

The fourth proportional to 4,902.93, 6,764.38 and 2,778.23 is: 3,833.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.93 : 6,764.38 = 2,778.23 : x
  2. Step 2: Convert to fraction form
    4,902.93/6,764.38 = 2,778.23/x
  3. Step 3: Cross multiply
    4,902.93x = 6,764.38 × 2,778.23
  4. Step 4: Simplify right side
    4,902.93x = 18,793,013.41
  5. Step 5: Solve for x
    x = 18,793,013.41/4,902.93
  6. Step 6: Final answer
    x = 3,833.02

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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.