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Finding the Fourth Proportional to 5,361.44, 8,035.94 and 3,172

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Solution

The fourth proportional to 5,361.44, 8,035.94 and 3,172 is: 4,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.44 : 8,035.94 = 3,172 : x
  2. Step 2: Convert to fraction form
    5,361.44/8,035.94 = 3,172/x
  3. Step 3: Cross multiply
    5,361.44x = 8,035.94 × 3,172
  4. Step 4: Simplify right side
    5,361.44x = 25,490,001.68
  5. Step 5: Solve for x
    x = 25,490,001.68/5,361.44
  6. Step 6: Final answer
    x = 4,754.32

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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.