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Finding the Fourth Proportional to 5,976.40, 8,980.44 and 3,205.12

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Solution

The fourth proportional to 5,976.40, 8,980.44 and 3,205.12 is: 4,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.40 : 8,980.44 = 3,205.12 : x
  2. Step 2: Convert to fraction form
    5,976.40/8,980.44 = 3,205.12/x
  3. Step 3: Cross multiply
    5,976.40x = 8,980.44 × 3,205.12
  4. Step 4: Simplify right side
    5,976.40x = 28,783,387.85
  5. Step 5: Solve for x
    x = 28,783,387.85/5,976.40
  6. Step 6: Final answer
    x = 4,816.17

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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.