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Finding the Fourth Proportional to 4,825.38, 6,658.74 and 3,149.94

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Solution

The fourth proportional to 4,825.38, 6,658.74 and 3,149.94 is: 4,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.38 : 6,658.74 = 3,149.94 : x
  2. Step 2: Convert to fraction form
    4,825.38/6,658.74 = 3,149.94/x
  3. Step 3: Cross multiply
    4,825.38x = 6,658.74 × 3,149.94
  4. Step 4: Simplify right side
    4,825.38x = 20,974,631.48
  5. Step 5: Solve for x
    x = 20,974,631.48/4,825.38
  6. Step 6: Final answer
    x = 4,346.73

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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.