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Finding the Fourth Proportional to 4,662.79, 6,434.46 and 2,671.97

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Solution

The fourth proportional to 4,662.79, 6,434.46 and 2,671.97 is: 3,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.79 : 6,434.46 = 2,671.97 : x
  2. Step 2: Convert to fraction form
    4,662.79/6,434.46 = 2,671.97/x
  3. Step 3: Cross multiply
    4,662.79x = 6,434.46 × 2,671.97
  4. Step 4: Simplify right side
    4,662.79x = 17,192,651.91
  5. Step 5: Solve for x
    x = 17,192,651.91/4,662.79
  6. Step 6: Final answer
    x = 3,687.20

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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.