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Finding the Fourth Proportional to 3,963.82, 5,457.59 and 3,016.58

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Solution

The fourth proportional to 3,963.82, 5,457.59 and 3,016.58 is: 4,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.82 : 5,457.59 = 3,016.58 : x
  2. Step 2: Convert to fraction form
    3,963.82/5,457.59 = 3,016.58/x
  3. Step 3: Cross multiply
    3,963.82x = 5,457.59 × 3,016.58
  4. Step 4: Simplify right side
    3,963.82x = 16,463,253.05
  5. Step 5: Solve for x
    x = 16,463,253.05/3,963.82
  6. Step 6: Final answer
    x = 4,153.38

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Why These Related Problems?

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