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Finding the Fourth Proportional to 4,409, 6,609.04 and 2,766.70

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Solution

The fourth proportional to 4,409, 6,609.04 and 2,766.70 is: 4,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409 : 6,609.04 = 2,766.70 : x
  2. Step 2: Convert to fraction form
    4,409/6,609.04 = 2,766.70/x
  3. Step 3: Cross multiply
    4,409x = 6,609.04 × 2,766.70
  4. Step 4: Simplify right side
    4,409x = 18,285,230.97
  5. Step 5: Solve for x
    x = 18,285,230.97/4,409
  6. Step 6: Final answer
    x = 4,147.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.