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Finding the Fourth Proportional to 3,355.70, 4,614.44 and 2,912.82

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Solution

The fourth proportional to 3,355.70, 4,614.44 and 2,912.82 is: 4,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.70 : 4,614.44 = 2,912.82 : x
  2. Step 2: Convert to fraction form
    3,355.70/4,614.44 = 2,912.82/x
  3. Step 3: Cross multiply
    3,355.70x = 4,614.44 × 2,912.82
  4. Step 4: Simplify right side
    3,355.70x = 13,441,033.12
  5. Step 5: Solve for x
    x = 13,441,033.12/3,355.70
  6. Step 6: Final answer
    x = 4,005.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.