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Finding the Fourth Proportional to 5,800, 8,004 and 3,282.06

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Solution

The fourth proportional to 5,800, 8,004 and 3,282.06 is: 4,529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800 : 8,004 = 3,282.06 : x
  2. Step 2: Convert to fraction form
    5,800/8,004 = 3,282.06/x
  3. Step 3: Cross multiply
    5,800x = 8,004 × 3,282.06
  4. Step 4: Simplify right side
    5,800x = 26,269,608.24
  5. Step 5: Solve for x
    x = 26,269,608.24/5,800
  6. Step 6: Final answer
    x = 4,529.24

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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.