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Finding the Fourth Proportional to 4,708.38, 6,493.79 and 4,002.56

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Solution

The fourth proportional to 4,708.38, 6,493.79 and 4,002.56 is: 5,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.38 : 6,493.79 = 4,002.56 : x
  2. Step 2: Convert to fraction form
    4,708.38/6,493.79 = 4,002.56/x
  3. Step 3: Cross multiply
    4,708.38x = 6,493.79 × 4,002.56
  4. Step 4: Simplify right side
    4,708.38x = 25,991,731.62
  5. Step 5: Solve for x
    x = 25,991,731.62/4,708.38
  6. Step 6: Final answer
    x = 5,520.31

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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.