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Finding the Fourth Proportional to 6,800.52, 10,201.86 and 3,338.04

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Solution

The fourth proportional to 6,800.52, 10,201.86 and 3,338.04 is: 5,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.52 : 10,201.86 = 3,338.04 : x
  2. Step 2: Convert to fraction form
    6,800.52/10,201.86 = 3,338.04/x
  3. Step 3: Cross multiply
    6,800.52x = 10,201.86 × 3,338.04
  4. Step 4: Simplify right side
    6,800.52x = 34,054,216.75
  5. Step 5: Solve for x
    x = 34,054,216.75/6,800.52
  6. Step 6: Final answer
    x = 5,007.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.