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Finding the Fourth Proportional to 3,640.30, 5,448.30 and 3,202.90

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Solution

The fourth proportional to 3,640.30, 5,448.30 and 3,202.90 is: 4,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.30 : 5,448.30 = 3,202.90 : x
  2. Step 2: Convert to fraction form
    3,640.30/5,448.30 = 3,202.90/x
  3. Step 3: Cross multiply
    3,640.30x = 5,448.30 × 3,202.90
  4. Step 4: Simplify right side
    3,640.30x = 17,450,360.07
  5. Step 5: Solve for x
    x = 17,450,360.07/3,640.30
  6. Step 6: Final answer
    x = 4,793.66

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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.