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Finding the Fourth Proportional to 6,520.91, 8,997.65 and 3,832.57

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Solution

The fourth proportional to 6,520.91, 8,997.65 and 3,832.57 is: 5,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.91 : 8,997.65 = 3,832.57 : x
  2. Step 2: Convert to fraction form
    6,520.91/8,997.65 = 3,832.57/x
  3. Step 3: Cross multiply
    6,520.91x = 8,997.65 × 3,832.57
  4. Step 4: Simplify right side
    6,520.91x = 34,484,059.31
  5. Step 5: Solve for x
    x = 34,484,059.31/6,520.91
  6. Step 6: Final answer
    x = 5,288.23

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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.