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Finding the Fourth Proportional to 3,467.75, 5,201.02 and 1,129.42

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Solution

The fourth proportional to 3,467.75, 5,201.02 and 1,129.42 is: 1,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.75 : 5,201.02 = 1,129.42 : x
  2. Step 2: Convert to fraction form
    3,467.75/5,201.02 = 1,129.42/x
  3. Step 3: Cross multiply
    3,467.75x = 5,201.02 × 1,129.42
  4. Step 4: Simplify right side
    3,467.75x = 5,874,136.01
  5. Step 5: Solve for x
    x = 5,874,136.01/3,467.75
  6. Step 6: Final answer
    x = 1,693.93

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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.