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Finding the Fourth Proportional to 3,467.31, 5,201.42 and 1,127.67

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Solution

The fourth proportional to 3,467.31, 5,201.42 and 1,127.67 is: 1,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.31 : 5,201.42 = 1,127.67 : x
  2. Step 2: Convert to fraction form
    3,467.31/5,201.42 = 1,127.67/x
  3. Step 3: Cross multiply
    3,467.31x = 5,201.42 × 1,127.67
  4. Step 4: Simplify right side
    3,467.31x = 5,865,489.41
  5. Step 5: Solve for x
    x = 5,865,489.41/3,467.31
  6. Step 6: Final answer
    x = 1,691.66

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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.