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Finding the Fourth Proportional to 4,996.28, 6,903.42 and 3,956.24

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Solution

The fourth proportional to 4,996.28, 6,903.42 and 3,956.24 is: 5,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.28 : 6,903.42 = 3,956.24 : x
  2. Step 2: Convert to fraction form
    4,996.28/6,903.42 = 3,956.24/x
  3. Step 3: Cross multiply
    4,996.28x = 6,903.42 × 3,956.24
  4. Step 4: Simplify right side
    4,996.28x = 27,311,586.34
  5. Step 5: Solve for x
    x = 27,311,586.34/4,996.28
  6. Step 6: Final answer
    x = 5,466.38

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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.