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Finding the Fourth Proportional to 4,049.92, 6,072 and 3,270.88

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Solution

The fourth proportional to 4,049.92, 6,072 and 3,270.88 is: 4,903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.92 : 6,072 = 3,270.88 : x
  2. Step 2: Convert to fraction form
    4,049.92/6,072 = 3,270.88/x
  3. Step 3: Cross multiply
    4,049.92x = 6,072 × 3,270.88
  4. Step 4: Simplify right side
    4,049.92x = 19,860,783.36
  5. Step 5: Solve for x
    x = 19,860,783.36/4,049.92
  6. Step 6: Final answer
    x = 4,903.99

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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.