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Finding the Fourth Proportional to 3,469.64, 5,205.38 and 1,004.68

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Solution

The fourth proportional to 3,469.64, 5,205.38 and 1,004.68 is: 1,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.64 : 5,205.38 = 1,004.68 : x
  2. Step 2: Convert to fraction form
    3,469.64/5,205.38 = 1,004.68/x
  3. Step 3: Cross multiply
    3,469.64x = 5,205.38 × 1,004.68
  4. Step 4: Simplify right side
    3,469.64x = 5,229,741.18
  5. Step 5: Solve for x
    x = 5,229,741.18/3,469.64
  6. Step 6: Final answer
    x = 1,507.29

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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.