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Finding the Fourth Proportional to 3,960.54, 5,465.85 and 2,468.64

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Solution

The fourth proportional to 3,960.54, 5,465.85 and 2,468.64 is: 3,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.54 : 5,465.85 = 2,468.64 : x
  2. Step 2: Convert to fraction form
    3,960.54/5,465.85 = 2,468.64/x
  3. Step 3: Cross multiply
    3,960.54x = 5,465.85 × 2,468.64
  4. Step 4: Simplify right side
    3,960.54x = 13,493,215.94
  5. Step 5: Solve for x
    x = 13,493,215.94/3,960.54
  6. Step 6: Final answer
    x = 3,406.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.