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Finding the Fourth Proportional to 6,274.88, 8,660.16 and 3,481.28

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Solution

The fourth proportional to 6,274.88, 8,660.16 and 3,481.28 is: 4,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.88 : 8,660.16 = 3,481.28 : x
  2. Step 2: Convert to fraction form
    6,274.88/8,660.16 = 3,481.28/x
  3. Step 3: Cross multiply
    6,274.88x = 8,660.16 × 3,481.28
  4. Step 4: Simplify right side
    6,274.88x = 30,148,441.80
  5. Step 5: Solve for x
    x = 30,148,441.80/6,274.88
  6. Step 6: Final answer
    x = 4,804.62

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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.