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Finding the Fourth Proportional to 3,850.62, 5,764.80 and 3,449.94

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Solution

The fourth proportional to 3,850.62, 5,764.80 and 3,449.94 is: 5,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.62 : 5,764.80 = 3,449.94 : x
  2. Step 2: Convert to fraction form
    3,850.62/5,764.80 = 3,449.94/x
  3. Step 3: Cross multiply
    3,850.62x = 5,764.80 × 3,449.94
  4. Step 4: Simplify right side
    3,850.62x = 19,888,214.11
  5. Step 5: Solve for x
    x = 19,888,214.11/3,850.62
  6. Step 6: Final answer
    x = 5,164.94

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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.