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Finding the Fourth Proportional to 4,664.97, 6,438.57 and 2,676.87

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Solution

The fourth proportional to 4,664.97, 6,438.57 and 2,676.87 is: 3,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.97 : 6,438.57 = 2,676.87 : x
  2. Step 2: Convert to fraction form
    4,664.97/6,438.57 = 2,676.87/x
  3. Step 3: Cross multiply
    4,664.97x = 6,438.57 × 2,676.87
  4. Step 4: Simplify right side
    4,664.97x = 17,235,214.88
  5. Step 5: Solve for x
    x = 17,235,214.88/4,664.97
  6. Step 6: Final answer
    x = 3,694.60

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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.