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Finding the Fourth Proportional to 4,902.06, 6,765.76 and 2,806.19

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Solution

The fourth proportional to 4,902.06, 6,765.76 and 2,806.19 is: 3,873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.06 : 6,765.76 = 2,806.19 : x
  2. Step 2: Convert to fraction form
    4,902.06/6,765.76 = 2,806.19/x
  3. Step 3: Cross multiply
    4,902.06x = 6,765.76 × 2,806.19
  4. Step 4: Simplify right side
    4,902.06x = 18,986,008.05
  5. Step 5: Solve for x
    x = 18,986,008.05/4,902.06
  6. Step 6: Final answer
    x = 3,873.07

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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.