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Finding the Fourth Proportional to 6,205.93, 8,568.66 and 3,819.11

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Solution

The fourth proportional to 6,205.93, 8,568.66 and 3,819.11 is: 5,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.93 : 8,568.66 = 3,819.11 : x
  2. Step 2: Convert to fraction form
    6,205.93/8,568.66 = 3,819.11/x
  3. Step 3: Cross multiply
    6,205.93x = 8,568.66 × 3,819.11
  4. Step 4: Simplify right side
    6,205.93x = 32,724,655.09
  5. Step 5: Solve for x
    x = 32,724,655.09/6,205.93
  6. Step 6: Final answer
    x = 5,273.13

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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.