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Finding the Fourth Proportional to 6,504.66, 8,976.44 and 3,520.50

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Solution

The fourth proportional to 6,504.66, 8,976.44 and 3,520.50 is: 4,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.66 : 8,976.44 = 3,520.50 : x
  2. Step 2: Convert to fraction form
    6,504.66/8,976.44 = 3,520.50/x
  3. Step 3: Cross multiply
    6,504.66x = 8,976.44 × 3,520.50
  4. Step 4: Simplify right side
    6,504.66x = 31,601,557.02
  5. Step 5: Solve for x
    x = 31,601,557.02/6,504.66
  6. Step 6: Final answer
    x = 4,858.29

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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.