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Finding the Fourth Proportional to 3,927.50, 5,893.96 and 1,619

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Solution

The fourth proportional to 3,927.50, 5,893.96 and 1,619 is: 2,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.50 : 5,893.96 = 1,619 : x
  2. Step 2: Convert to fraction form
    3,927.50/5,893.96 = 1,619/x
  3. Step 3: Cross multiply
    3,927.50x = 5,893.96 × 1,619
  4. Step 4: Simplify right side
    3,927.50x = 9,542,321.24
  5. Step 5: Solve for x
    x = 9,542,321.24/3,927.50
  6. Step 6: Final answer
    x = 2,429.62

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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.