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Finding the Fourth Proportional to 6,581.70, 9,082.38 and 3,596.97

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Solution

The fourth proportional to 6,581.70, 9,082.38 and 3,596.97 is: 4,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.70 : 9,082.38 = 3,596.97 : x
  2. Step 2: Convert to fraction form
    6,581.70/9,082.38 = 3,596.97/x
  3. Step 3: Cross multiply
    6,581.70x = 9,082.38 × 3,596.97
  4. Step 4: Simplify right side
    6,581.70x = 32,669,048.39
  5. Step 5: Solve for x
    x = 32,669,048.39/6,581.70
  6. Step 6: Final answer
    x = 4,963.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.