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Finding the Fourth Proportional to 4,905.67, 6,768.26 and 3,043.75

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Solution

The fourth proportional to 4,905.67, 6,768.26 and 3,043.75 is: 4,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.67 : 6,768.26 = 3,043.75 : x
  2. Step 2: Convert to fraction form
    4,905.67/6,768.26 = 3,043.75/x
  3. Step 3: Cross multiply
    4,905.67x = 6,768.26 × 3,043.75
  4. Step 4: Simplify right side
    4,905.67x = 20,600,891.38
  5. Step 5: Solve for x
    x = 20,600,891.38/4,905.67
  6. Step 6: Final answer
    x = 4,199.40

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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.