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Finding the Fourth Proportional to 5,393.65, 8,059.01 and 3,982.09

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Solution

The fourth proportional to 5,393.65, 8,059.01 and 3,982.09 is: 5,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.65 : 8,059.01 = 3,982.09 : x
  2. Step 2: Convert to fraction form
    5,393.65/8,059.01 = 3,982.09/x
  3. Step 3: Cross multiply
    5,393.65x = 8,059.01 × 3,982.09
  4. Step 4: Simplify right side
    5,393.65x = 32,091,703.13
  5. Step 5: Solve for x
    x = 32,091,703.13/5,393.65
  6. Step 6: Final answer
    x = 5,949.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.