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Finding the Fourth Proportional to 3,796.38, 5,237.19 and 3,271.50

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Solution

The fourth proportional to 3,796.38, 5,237.19 and 3,271.50 is: 4,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.38 : 5,237.19 = 3,271.50 : x
  2. Step 2: Convert to fraction form
    3,796.38/5,237.19 = 3,271.50/x
  3. Step 3: Cross multiply
    3,796.38x = 5,237.19 × 3,271.50
  4. Step 4: Simplify right side
    3,796.38x = 17,133,467.09
  5. Step 5: Solve for x
    x = 17,133,467.09/3,796.38
  6. Step 6: Final answer
    x = 4,513.11

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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.