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Finding the Fourth Proportional to 4,808.82, 7,214.17 and 1,847.05

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Solution

The fourth proportional to 4,808.82, 7,214.17 and 1,847.05 is: 2,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.82 : 7,214.17 = 1,847.05 : x
  2. Step 2: Convert to fraction form
    4,808.82/7,214.17 = 1,847.05/x
  3. Step 3: Cross multiply
    4,808.82x = 7,214.17 × 1,847.05
  4. Step 4: Simplify right side
    4,808.82x = 13,324,887.39
  5. Step 5: Solve for x
    x = 13,324,887.39/4,808.82
  6. Step 6: Final answer
    x = 2,770.93

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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.