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Finding the Fourth Proportional to 6,002.38, 8,283.25 and 3,349.63

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Solution

The fourth proportional to 6,002.38, 8,283.25 and 3,349.63 is: 4,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.38 : 8,283.25 = 3,349.63 : x
  2. Step 2: Convert to fraction form
    6,002.38/8,283.25 = 3,349.63/x
  3. Step 3: Cross multiply
    6,002.38x = 8,283.25 × 3,349.63
  4. Step 4: Simplify right side
    6,002.38x = 27,745,822.70
  5. Step 5: Solve for x
    x = 27,745,822.70/6,002.38
  6. Step 6: Final answer
    x = 4,622.47

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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.