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Finding the Fourth Proportional to 3,844.84, 5,305.90 and 2,331.90

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Solution

The fourth proportional to 3,844.84, 5,305.90 and 2,331.90 is: 3,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.84 : 5,305.90 = 2,331.90 : x
  2. Step 2: Convert to fraction form
    3,844.84/5,305.90 = 2,331.90/x
  3. Step 3: Cross multiply
    3,844.84x = 5,305.90 × 2,331.90
  4. Step 4: Simplify right side
    3,844.84x = 12,372,828.21
  5. Step 5: Solve for x
    x = 12,372,828.21/3,844.84
  6. Step 6: Final answer
    x = 3,218.03

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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.