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Finding the Fourth Proportional to 5,892.49, 8,131.83 and 3,240.10

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Solution

The fourth proportional to 5,892.49, 8,131.83 and 3,240.10 is: 4,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.49 : 8,131.83 = 3,240.10 : x
  2. Step 2: Convert to fraction form
    5,892.49/8,131.83 = 3,240.10/x
  3. Step 3: Cross multiply
    5,892.49x = 8,131.83 × 3,240.10
  4. Step 4: Simplify right side
    5,892.49x = 26,347,942.38
  5. Step 5: Solve for x
    x = 26,347,942.38/5,892.49
  6. Step 6: Final answer
    x = 4,471.44

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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.