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Finding the Fourth Proportional to 6,002.97, 8,284.11 and 3,350.38

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Solution

The fourth proportional to 6,002.97, 8,284.11 and 3,350.38 is: 4,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.97 : 8,284.11 = 3,350.38 : x
  2. Step 2: Convert to fraction form
    6,002.97/8,284.11 = 3,350.38/x
  3. Step 3: Cross multiply
    6,002.97x = 8,284.11 × 3,350.38
  4. Step 4: Simplify right side
    6,002.97x = 27,754,939.38
  5. Step 5: Solve for x
    x = 27,754,939.38/6,002.97
  6. Step 6: Final answer
    x = 4,623.53

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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.