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Finding the Fourth Proportional to 3,952.80, 5,450.40 and 3,365.28

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Solution

The fourth proportional to 3,952.80, 5,450.40 and 3,365.28 is: 4,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.80 : 5,450.40 = 3,365.28 : x
  2. Step 2: Convert to fraction form
    3,952.80/5,450.40 = 3,365.28/x
  3. Step 3: Cross multiply
    3,952.80x = 5,450.40 × 3,365.28
  4. Step 4: Simplify right side
    3,952.80x = 18,342,122.11
  5. Step 5: Solve for x
    x = 18,342,122.11/3,952.80
  6. Step 6: Final answer
    x = 4,640.29

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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.