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Finding the Fourth Proportional to 6,002.10, 8,282.92 and 3,349.54

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Solution

The fourth proportional to 6,002.10, 8,282.92 and 3,349.54 is: 4,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.10 : 8,282.92 = 3,349.54 : x
  2. Step 2: Convert to fraction form
    6,002.10/8,282.92 = 3,349.54/x
  3. Step 3: Cross multiply
    6,002.10x = 8,282.92 × 3,349.54
  4. Step 4: Simplify right side
    6,002.10x = 27,743,971.86
  5. Step 5: Solve for x
    x = 27,743,971.86/6,002.10
  6. Step 6: Final answer
    x = 4,622.38

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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.