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Finding the Fourth Proportional to 3,416.88, 5,120.80 and 3,331

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Solution

The fourth proportional to 3,416.88, 5,120.80 and 3,331 is: 4,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.88 : 5,120.80 = 3,331 : x
  2. Step 2: Convert to fraction form
    3,416.88/5,120.80 = 3,331/x
  3. Step 3: Cross multiply
    3,416.88x = 5,120.80 × 3,331
  4. Step 4: Simplify right side
    3,416.88x = 17,057,384.80
  5. Step 5: Solve for x
    x = 17,057,384.80/3,416.88
  6. Step 6: Final answer
    x = 4,992.09

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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.