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Finding the Fourth Proportional to 6,504.50, 8,976.17 and 3,520.31

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Solution

The fourth proportional to 6,504.50, 8,976.17 and 3,520.31 is: 4,858.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.50 : 8,976.17 = 3,520.31 : x
  2. Step 2: Convert to fraction form
    6,504.50/8,976.17 = 3,520.31/x
  3. Step 3: Cross multiply
    6,504.50x = 8,976.17 × 3,520.31
  4. Step 4: Simplify right side
    6,504.50x = 31,598,895.62
  5. Step 5: Solve for x
    x = 31,598,895.62/6,504.50
  6. Step 6: Final answer
    x = 4,858.00

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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.