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Finding the Fourth Proportional to 3,960.32, 5,472.47 and 3,768.17

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Solution

The fourth proportional to 3,960.32, 5,472.47 and 3,768.17 is: 5,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.32 : 5,472.47 = 3,768.17 : x
  2. Step 2: Convert to fraction form
    3,960.32/5,472.47 = 3,768.17/x
  3. Step 3: Cross multiply
    3,960.32x = 5,472.47 × 3,768.17
  4. Step 4: Simplify right side
    3,960.32x = 20,621,179.34
  5. Step 5: Solve for x
    x = 20,621,179.34/3,960.32
  6. Step 6: Final answer
    x = 5,206.95

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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.