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Finding the Fourth Proportional to 3,922.36, 5,880.50 and 3,401.64

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Solution

The fourth proportional to 3,922.36, 5,880.50 and 3,401.64 is: 5,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.36 : 5,880.50 = 3,401.64 : x
  2. Step 2: Convert to fraction form
    3,922.36/5,880.50 = 3,401.64/x
  3. Step 3: Cross multiply
    3,922.36x = 5,880.50 × 3,401.64
  4. Step 4: Simplify right side
    3,922.36x = 20,003,344.02
  5. Step 5: Solve for x
    x = 20,003,344.02/3,922.36
  6. Step 6: Final answer
    x = 5,099.82

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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.