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Finding the Fourth Proportional to 6,108.38, 8,429.56 and 3,455.73

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Solution

The fourth proportional to 6,108.38, 8,429.56 and 3,455.73 is: 4,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.38 : 8,429.56 = 3,455.73 : x
  2. Step 2: Convert to fraction form
    6,108.38/8,429.56 = 3,455.73/x
  3. Step 3: Cross multiply
    6,108.38x = 8,429.56 × 3,455.73
  4. Step 4: Simplify right side
    6,108.38x = 29,130,283.38
  5. Step 5: Solve for x
    x = 29,130,283.38/6,108.38
  6. Step 6: Final answer
    x = 4,768.90

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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.