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Finding the Fourth Proportional to 3,838.09, 5,757.11 and 3,316.50

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Solution

The fourth proportional to 3,838.09, 5,757.11 and 3,316.50 is: 4,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.09 : 5,757.11 = 3,316.50 : x
  2. Step 2: Convert to fraction form
    3,838.09/5,757.11 = 3,316.50/x
  3. Step 3: Cross multiply
    3,838.09x = 5,757.11 × 3,316.50
  4. Step 4: Simplify right side
    3,838.09x = 19,093,485.20
  5. Step 5: Solve for x
    x = 19,093,485.20/3,838.09
  6. Step 6: Final answer
    x = 4,974.74

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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.