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Finding the Fourth Proportional to 4,266.14, 5,887.49 and 3,216.38

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Solution

The fourth proportional to 4,266.14, 5,887.49 and 3,216.38 is: 4,438.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.14 : 5,887.49 = 3,216.38 : x
  2. Step 2: Convert to fraction form
    4,266.14/5,887.49 = 3,216.38/x
  3. Step 3: Cross multiply
    4,266.14x = 5,887.49 × 3,216.38
  4. Step 4: Simplify right side
    4,266.14x = 18,936,359.57
  5. Step 5: Solve for x
    x = 18,936,359.57/4,266.14
  6. Step 6: Final answer
    x = 4,438.76

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Why These Related Problems?

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