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Finding the Fourth Proportional to 6,107.38, 8,428.18 and 3,454.73

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Solution

The fourth proportional to 6,107.38, 8,428.18 and 3,454.73 is: 4,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.38 : 8,428.18 = 3,454.73 : x
  2. Step 2: Convert to fraction form
    6,107.38/8,428.18 = 3,454.73/x
  3. Step 3: Cross multiply
    6,107.38x = 8,428.18 × 3,454.73
  4. Step 4: Simplify right side
    6,107.38x = 29,117,086.29
  5. Step 5: Solve for x
    x = 29,117,086.29/6,107.38
  6. Step 6: Final answer
    x = 4,767.52

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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.