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Finding the Fourth Proportional to 4,729.49, 7,086.87 and 1,806.20

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Solution

The fourth proportional to 4,729.49, 7,086.87 and 1,806.20 is: 2,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.49 : 7,086.87 = 1,806.20 : x
  2. Step 2: Convert to fraction form
    4,729.49/7,086.87 = 1,806.20/x
  3. Step 3: Cross multiply
    4,729.49x = 7,086.87 × 1,806.20
  4. Step 4: Simplify right side
    4,729.49x = 12,800,269.16
  5. Step 5: Solve for x
    x = 12,800,269.16/4,729.49
  6. Step 6: Final answer
    x = 2,706.48

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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.