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Finding the Fourth Proportional to 4,694.30, 6,472.80 and 3,203.09

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Solution

The fourth proportional to 4,694.30, 6,472.80 and 3,203.09 is: 4,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.30 : 6,472.80 = 3,203.09 : x
  2. Step 2: Convert to fraction form
    4,694.30/6,472.80 = 3,203.09/x
  3. Step 3: Cross multiply
    4,694.30x = 6,472.80 × 3,203.09
  4. Step 4: Simplify right side
    4,694.30x = 20,732,960.95
  5. Step 5: Solve for x
    x = 20,732,960.95/4,694.30
  6. Step 6: Final answer
    x = 4,416.62

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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.