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Finding the Fourth Proportional to 4,902.66, 6,765.72 and 2,806.74

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Solution

The fourth proportional to 4,902.66, 6,765.72 and 2,806.74 is: 3,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.66 : 6,765.72 = 2,806.74 : x
  2. Step 2: Convert to fraction form
    4,902.66/6,765.72 = 2,806.74/x
  3. Step 3: Cross multiply
    4,902.66x = 6,765.72 × 2,806.74
  4. Step 4: Simplify right side
    4,902.66x = 18,989,616.95
  5. Step 5: Solve for x
    x = 18,989,616.95/4,902.66
  6. Step 6: Final answer
    x = 3,873.33

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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.