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Finding the Fourth Proportional to 3,914.84, 5,863.98 and 2,676.44

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Solution

The fourth proportional to 3,914.84, 5,863.98 and 2,676.44 is: 4,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.84 : 5,863.98 = 2,676.44 : x
  2. Step 2: Convert to fraction form
    3,914.84/5,863.98 = 2,676.44/x
  3. Step 3: Cross multiply
    3,914.84x = 5,863.98 × 2,676.44
  4. Step 4: Simplify right side
    3,914.84x = 15,694,590.63
  5. Step 5: Solve for x
    x = 15,694,590.63/3,914.84
  6. Step 6: Final answer
    x = 4,009.00

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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.