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Finding the Fourth Proportional to 6,580.29, 9,872.25 and 3,660.64

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Solution

The fourth proportional to 6,580.29, 9,872.25 and 3,660.64 is: 5,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.29 : 9,872.25 = 3,660.64 : x
  2. Step 2: Convert to fraction form
    6,580.29/9,872.25 = 3,660.64/x
  3. Step 3: Cross multiply
    6,580.29x = 9,872.25 × 3,660.64
  4. Step 4: Simplify right side
    6,580.29x = 36,138,753.24
  5. Step 5: Solve for x
    x = 36,138,753.24/6,580.29
  6. Step 6: Final answer
    x = 5,491.97

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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.