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Finding the Fourth Proportional to 3,959.29, 5,463.91 and 2,166.94

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Solution

The fourth proportional to 3,959.29, 5,463.91 and 2,166.94 is: 2,990.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.29 : 5,463.91 = 2,166.94 : x
  2. Step 2: Convert to fraction form
    3,959.29/5,463.91 = 2,166.94/x
  3. Step 3: Cross multiply
    3,959.29x = 5,463.91 × 2,166.94
  4. Step 4: Simplify right side
    3,959.29x = 11,839,974.67
  5. Step 5: Solve for x
    x = 11,839,974.67/3,959.29
  6. Step 6: Final answer
    x = 2,990.43

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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.