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Finding the Fourth Proportional to 3,960.52, 5,952.74 and 3,271.62

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Solution

The fourth proportional to 3,960.52, 5,952.74 and 3,271.62 is: 4,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.52 : 5,952.74 = 3,271.62 : x
  2. Step 2: Convert to fraction form
    3,960.52/5,952.74 = 3,271.62/x
  3. Step 3: Cross multiply
    3,960.52x = 5,952.74 × 3,271.62
  4. Step 4: Simplify right side
    3,960.52x = 19,475,077.38
  5. Step 5: Solve for x
    x = 19,475,077.38/3,960.52
  6. Step 6: Final answer
    x = 4,917.30

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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.