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Finding the Fourth Proportional to 3,996.84, 5,516.16 and 2,881.47

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Solution

The fourth proportional to 3,996.84, 5,516.16 and 2,881.47 is: 3,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.84 : 5,516.16 = 2,881.47 : x
  2. Step 2: Convert to fraction form
    3,996.84/5,516.16 = 2,881.47/x
  3. Step 3: Cross multiply
    3,996.84x = 5,516.16 × 2,881.47
  4. Step 4: Simplify right side
    3,996.84x = 15,894,649.56
  5. Step 5: Solve for x
    x = 15,894,649.56/3,996.84
  6. Step 6: Final answer
    x = 3,976.80

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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.