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Finding the Fourth Proportional to 4,676.46, 6,453.66 and 2,687.42

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Solution

The fourth proportional to 4,676.46, 6,453.66 and 2,687.42 is: 3,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.46 : 6,453.66 = 2,687.42 : x
  2. Step 2: Convert to fraction form
    4,676.46/6,453.66 = 2,687.42/x
  3. Step 3: Cross multiply
    4,676.46x = 6,453.66 × 2,687.42
  4. Step 4: Simplify right side
    4,676.46x = 17,343,694.96
  5. Step 5: Solve for x
    x = 17,343,694.96/4,676.46
  6. Step 6: Final answer
    x = 3,708.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.