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Finding the Fourth Proportional to 3,416.49, 5,125.22 and 3,355.44

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Solution

The fourth proportional to 3,416.49, 5,125.22 and 3,355.44 is: 5,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.49 : 5,125.22 = 3,355.44 : x
  2. Step 2: Convert to fraction form
    3,416.49/5,125.22 = 3,355.44/x
  3. Step 3: Cross multiply
    3,416.49x = 5,125.22 × 3,355.44
  4. Step 4: Simplify right side
    3,416.49x = 17,197,351.42
  5. Step 5: Solve for x
    x = 17,197,351.42/3,416.49
  6. Step 6: Final answer
    x = 5,033.63

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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.