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Finding the Fourth Proportional to 3,469.80, 5,203.92 and 1,004.07

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Solution

The fourth proportional to 3,469.80, 5,203.92 and 1,004.07 is: 1,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.80 : 5,203.92 = 1,004.07 : x
  2. Step 2: Convert to fraction form
    3,469.80/5,203.92 = 1,004.07/x
  3. Step 3: Cross multiply
    3,469.80x = 5,203.92 × 1,004.07
  4. Step 4: Simplify right side
    3,469.80x = 5,225,099.95
  5. Step 5: Solve for x
    x = 5,225,099.95/3,469.80
  6. Step 6: Final answer
    x = 1,505.88

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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.