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Finding the Fourth Proportional to 3,913, 5,400.42 and 2,257

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Solution

The fourth proportional to 3,913, 5,400.42 and 2,257 is: 3,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913 : 5,400.42 = 2,257 : x
  2. Step 2: Convert to fraction form
    3,913/5,400.42 = 2,257/x
  3. Step 3: Cross multiply
    3,913x = 5,400.42 × 2,257
  4. Step 4: Simplify right side
    3,913x = 12,188,747.94
  5. Step 5: Solve for x
    x = 12,188,747.94/3,913
  6. Step 6: Final answer
    x = 3,114.94

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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.