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Finding the Fourth Proportional to 4,889.28, 6,748.38 and 2,794.62

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Solution

The fourth proportional to 4,889.28, 6,748.38 and 2,794.62 is: 3,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.28 : 6,748.38 = 2,794.62 : x
  2. Step 2: Convert to fraction form
    4,889.28/6,748.38 = 2,794.62/x
  3. Step 3: Cross multiply
    4,889.28x = 6,748.38 × 2,794.62
  4. Step 4: Simplify right side
    4,889.28x = 18,859,157.72
  5. Step 5: Solve for x
    x = 18,859,157.72/4,889.28
  6. Step 6: Final answer
    x = 3,857.25

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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.