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Finding the Fourth Proportional to 3,640.80, 5,450.40 and 2,409.60

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Solution

The fourth proportional to 3,640.80, 5,450.40 and 2,409.60 is: 3,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.80 : 5,450.40 = 2,409.60 : x
  2. Step 2: Convert to fraction form
    3,640.80/5,450.40 = 2,409.60/x
  3. Step 3: Cross multiply
    3,640.80x = 5,450.40 × 2,409.60
  4. Step 4: Simplify right side
    3,640.80x = 13,133,283.84
  5. Step 5: Solve for x
    x = 13,133,283.84/3,640.80
  6. Step 6: Final answer
    x = 3,607.25

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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.