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Finding the Fourth Proportional to 4,624.80, 6,371.09 and 3,205.98

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Solution

The fourth proportional to 4,624.80, 6,371.09 and 3,205.98 is: 4,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.80 : 6,371.09 = 3,205.98 : x
  2. Step 2: Convert to fraction form
    4,624.80/6,371.09 = 3,205.98/x
  3. Step 3: Cross multiply
    4,624.80x = 6,371.09 × 3,205.98
  4. Step 4: Simplify right side
    4,624.80x = 20,425,583.11
  5. Step 5: Solve for x
    x = 20,425,583.11/4,624.80
  6. Step 6: Final answer
    x = 4,416.54

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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.