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Finding the Fourth Proportional to 4,846.89, 7,265.70 and 3,086.49

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Solution

The fourth proportional to 4,846.89, 7,265.70 and 3,086.49 is: 4,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.89 : 7,265.70 = 3,086.49 : x
  2. Step 2: Convert to fraction form
    4,846.89/7,265.70 = 3,086.49/x
  3. Step 3: Cross multiply
    4,846.89x = 7,265.70 × 3,086.49
  4. Step 4: Simplify right side
    4,846.89x = 22,425,510.39
  5. Step 5: Solve for x
    x = 22,425,510.39/4,846.89
  6. Step 6: Final answer
    x = 4,626.78

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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.