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Finding the Fourth Proportional to 4,469.40, 6,701.40 and 2,003.76

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Solution

The fourth proportional to 4,469.40, 6,701.40 and 2,003.76 is: 3,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.40 : 6,701.40 = 2,003.76 : x
  2. Step 2: Convert to fraction form
    4,469.40/6,701.40 = 2,003.76/x
  3. Step 3: Cross multiply
    4,469.40x = 6,701.40 × 2,003.76
  4. Step 4: Simplify right side
    4,469.40x = 13,427,997.26
  5. Step 5: Solve for x
    x = 13,427,997.26/4,469.40
  6. Step 6: Final answer
    x = 3,004.43

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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.