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Finding the Fourth Proportional to 4,676.44, 6,453.12 and 2,787.88

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Solution

The fourth proportional to 4,676.44, 6,453.12 and 2,787.88 is: 3,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.44 : 6,453.12 = 2,787.88 : x
  2. Step 2: Convert to fraction form
    4,676.44/6,453.12 = 2,787.88/x
  3. Step 3: Cross multiply
    4,676.44x = 6,453.12 × 2,787.88
  4. Step 4: Simplify right side
    4,676.44x = 17,990,524.19
  5. Step 5: Solve for x
    x = 17,990,524.19/4,676.44
  6. Step 6: Final answer
    x = 3,847.06

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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.