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Finding the Fourth Proportional to 4,902.78, 6,765.84 and 2,806.92

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Solution

The fourth proportional to 4,902.78, 6,765.84 and 2,806.92 is: 3,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.78 : 6,765.84 = 2,806.92 : x
  2. Step 2: Convert to fraction form
    4,902.78/6,765.84 = 2,806.92/x
  3. Step 3: Cross multiply
    4,902.78x = 6,765.84 × 2,806.92
  4. Step 4: Simplify right side
    4,902.78x = 18,991,171.61
  5. Step 5: Solve for x
    x = 18,991,171.61/4,902.78
  6. Step 6: Final answer
    x = 3,873.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.