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Finding the Fourth Proportional to 3,916, 5,404.01 and 2,147.60

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Solution

The fourth proportional to 3,916, 5,404.01 and 2,147.60 is: 2,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916 : 5,404.01 = 2,147.60 : x
  2. Step 2: Convert to fraction form
    3,916/5,404.01 = 2,147.60/x
  3. Step 3: Cross multiply
    3,916x = 5,404.01 × 2,147.60
  4. Step 4: Simplify right side
    3,916x = 11,605,651.88
  5. Step 5: Solve for x
    x = 11,605,651.88/3,916
  6. Step 6: Final answer
    x = 2,963.65

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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.