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Finding the Fourth Proportional to 3,961.41, 5,943.42 and 1,496.45

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Solution

The fourth proportional to 3,961.41, 5,943.42 and 1,496.45 is: 2,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.41 : 5,943.42 = 1,496.45 : x
  2. Step 2: Convert to fraction form
    3,961.41/5,943.42 = 1,496.45/x
  3. Step 3: Cross multiply
    3,961.41x = 5,943.42 × 1,496.45
  4. Step 4: Simplify right side
    3,961.41x = 8,894,001.14
  5. Step 5: Solve for x
    x = 8,894,001.14/3,961.41
  6. Step 6: Final answer
    x = 2,245.16

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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.