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Finding the Fourth Proportional to 4,824.72, 6,657.84 and 2,728.62

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Solution

The fourth proportional to 4,824.72, 6,657.84 and 2,728.62 is: 3,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.72 : 6,657.84 = 2,728.62 : x
  2. Step 2: Convert to fraction form
    4,824.72/6,657.84 = 2,728.62/x
  3. Step 3: Cross multiply
    4,824.72x = 6,657.84 × 2,728.62
  4. Step 4: Simplify right side
    4,824.72x = 18,166,715.38
  5. Step 5: Solve for x
    x = 18,166,715.38/4,824.72
  6. Step 6: Final answer
    x = 3,765.34

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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.