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Finding the Fourth Proportional to 3,416.50, 5,099.50 and 3,333.61

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Solution

The fourth proportional to 3,416.50, 5,099.50 and 3,333.61 is: 4,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.50 : 5,099.50 = 3,333.61 : x
  2. Step 2: Convert to fraction form
    3,416.50/5,099.50 = 3,333.61/x
  3. Step 3: Cross multiply
    3,416.50x = 5,099.50 × 3,333.61
  4. Step 4: Simplify right side
    3,416.50x = 16,999,744.20
  5. Step 5: Solve for x
    x = 16,999,744.20/3,416.50
  6. Step 6: Final answer
    x = 4,975.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.