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Finding the Fourth Proportional to 3,469.98, 5,205.12 and 1,005.12

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Solution

The fourth proportional to 3,469.98, 5,205.12 and 1,005.12 is: 1,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.98 : 5,205.12 = 1,005.12 : x
  2. Step 2: Convert to fraction form
    3,469.98/5,205.12 = 1,005.12/x
  3. Step 3: Cross multiply
    3,469.98x = 5,205.12 × 1,005.12
  4. Step 4: Simplify right side
    3,469.98x = 5,231,770.21
  5. Step 5: Solve for x
    x = 5,231,770.21/3,469.98
  6. Step 6: Final answer
    x = 1,507.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.