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Finding the Fourth Proportional to 3,905.67, 5,850.63 and 1,822.80

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Solution

The fourth proportional to 3,905.67, 5,850.63 and 1,822.80 is: 2,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.67 : 5,850.63 = 1,822.80 : x
  2. Step 2: Convert to fraction form
    3,905.67/5,850.63 = 1,822.80/x
  3. Step 3: Cross multiply
    3,905.67x = 5,850.63 × 1,822.80
  4. Step 4: Simplify right side
    3,905.67x = 10,664,528.36
  5. Step 5: Solve for x
    x = 10,664,528.36/3,905.67
  6. Step 6: Final answer
    x = 2,730.52

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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.