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Finding the Fourth Proportional to 4,633.50, 6,942.12 and 3,858.49

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Solution

The fourth proportional to 4,633.50, 6,942.12 and 3,858.49 is: 5,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.50 : 6,942.12 = 3,858.49 : x
  2. Step 2: Convert to fraction form
    4,633.50/6,942.12 = 3,858.49/x
  3. Step 3: Cross multiply
    4,633.50x = 6,942.12 × 3,858.49
  4. Step 4: Simplify right side
    4,633.50x = 26,786,100.60
  5. Step 5: Solve for x
    x = 26,786,100.60/4,633.50
  6. Step 6: Final answer
    x = 5,780.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.