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Finding the Fourth Proportional to 3,497.40, 5,233.95 and 3,205.80

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Solution

The fourth proportional to 3,497.40, 5,233.95 and 3,205.80 is: 4,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.40 : 5,233.95 = 3,205.80 : x
  2. Step 2: Convert to fraction form
    3,497.40/5,233.95 = 3,205.80/x
  3. Step 3: Cross multiply
    3,497.40x = 5,233.95 × 3,205.80
  4. Step 4: Simplify right side
    3,497.40x = 16,778,996.91
  5. Step 5: Solve for x
    x = 16,778,996.91/3,497.40
  6. Step 6: Final answer
    x = 4,797.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.