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Finding the Fourth Proportional to 3,880.88, 5,813.20 and 3,298.48

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Solution

The fourth proportional to 3,880.88, 5,813.20 and 3,298.48 is: 4,940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.88 : 5,813.20 = 3,298.48 : x
  2. Step 2: Convert to fraction form
    3,880.88/5,813.20 = 3,298.48/x
  3. Step 3: Cross multiply
    3,880.88x = 5,813.20 × 3,298.48
  4. Step 4: Simplify right side
    3,880.88x = 19,174,723.94
  5. Step 5: Solve for x
    x = 19,174,723.94/3,880.88
  6. Step 6: Final answer
    x = 4,940.82

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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.