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Finding the Fourth Proportional to 4,472.76, 6,704.10 and 2,003.88

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Solution

The fourth proportional to 4,472.76, 6,704.10 and 2,003.88 is: 3,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.76 : 6,704.10 = 2,003.88 : x
  2. Step 2: Convert to fraction form
    4,472.76/6,704.10 = 2,003.88/x
  3. Step 3: Cross multiply
    4,472.76x = 6,704.10 × 2,003.88
  4. Step 4: Simplify right side
    4,472.76x = 13,434,211.91
  5. Step 5: Solve for x
    x = 13,434,211.91/4,472.76
  6. Step 6: Final answer
    x = 3,003.56

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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.