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Finding the Fourth Proportional to 4,677.98, 7,019.37 and 1,906.70

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Solution

The fourth proportional to 4,677.98, 7,019.37 and 1,906.70 is: 2,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.98 : 7,019.37 = 1,906.70 : x
  2. Step 2: Convert to fraction form
    4,677.98/7,019.37 = 1,906.70/x
  3. Step 3: Cross multiply
    4,677.98x = 7,019.37 × 1,906.70
  4. Step 4: Simplify right side
    4,677.98x = 13,383,797.68
  5. Step 5: Solve for x
    x = 13,383,797.68/4,677.98
  6. Step 6: Final answer
    x = 2,861.02

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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.