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Finding the Fourth Proportional to 3,944.49, 5,443.16 and 2,176.26

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Solution

The fourth proportional to 3,944.49, 5,443.16 and 2,176.26 is: 3,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.49 : 5,443.16 = 2,176.26 : x
  2. Step 2: Convert to fraction form
    3,944.49/5,443.16 = 2,176.26/x
  3. Step 3: Cross multiply
    3,944.49x = 5,443.16 × 2,176.26
  4. Step 4: Simplify right side
    3,944.49x = 11,845,731.38
  5. Step 5: Solve for x
    x = 11,845,731.38/3,944.49
  6. Step 6: Final answer
    x = 3,003.11

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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.