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Finding the Fourth Proportional to 5,976.20, 8,961.54 and 3,306

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Solution

The fourth proportional to 5,976.20, 8,961.54 and 3,306 is: 4,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.20 : 8,961.54 = 3,306 : x
  2. Step 2: Convert to fraction form
    5,976.20/8,961.54 = 3,306/x
  3. Step 3: Cross multiply
    5,976.20x = 8,961.54 × 3,306
  4. Step 4: Simplify right side
    5,976.20x = 29,626,851.24
  5. Step 5: Solve for x
    x = 29,626,851.24/5,976.20
  6. Step 6: Final answer
    x = 4,957.47

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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.