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Finding the Fourth Proportional to 3,957.87, 5,462.14 and 2,189.44

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Solution

The fourth proportional to 3,957.87, 5,462.14 and 2,189.44 is: 3,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.87 : 5,462.14 = 2,189.44 : x
  2. Step 2: Convert to fraction form
    3,957.87/5,462.14 = 2,189.44/x
  3. Step 3: Cross multiply
    3,957.87x = 5,462.14 × 2,189.44
  4. Step 4: Simplify right side
    3,957.87x = 11,959,000.49
  5. Step 5: Solve for x
    x = 11,959,000.49/3,957.87
  6. Step 6: Final answer
    x = 3,021.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.