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Finding the Fourth Proportional to 3,960.71, 5,465.82 and 2,192.42

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Solution

The fourth proportional to 3,960.71, 5,465.82 and 2,192.42 is: 3,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.71 : 5,465.82 = 2,192.42 : x
  2. Step 2: Convert to fraction form
    3,960.71/5,465.82 = 2,192.42/x
  3. Step 3: Cross multiply
    3,960.71x = 5,465.82 × 2,192.42
  4. Step 4: Simplify right side
    3,960.71x = 11,983,373.08
  5. Step 5: Solve for x
    x = 11,983,373.08/3,960.71
  6. Step 6: Final answer
    x = 3,025.56

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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.