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Finding the Fourth Proportional to 4,469.56, 6,700.13 and 2,003

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Solution

The fourth proportional to 4,469.56, 6,700.13 and 2,003 is: 3,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.56 : 6,700.13 = 2,003 : x
  2. Step 2: Convert to fraction form
    4,469.56/6,700.13 = 2,003/x
  3. Step 3: Cross multiply
    4,469.56x = 6,700.13 × 2,003
  4. Step 4: Simplify right side
    4,469.56x = 13,420,360.39
  5. Step 5: Solve for x
    x = 13,420,360.39/4,469.56
  6. Step 6: Final answer
    x = 3,002.61

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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.