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Finding the Fourth Proportional to 3,963.93, 5,913.62 and 3,642.49

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Solution

The fourth proportional to 3,963.93, 5,913.62 and 3,642.49 is: 5,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.93 : 5,913.62 = 3,642.49 : x
  2. Step 2: Convert to fraction form
    3,963.93/5,913.62 = 3,642.49/x
  3. Step 3: Cross multiply
    3,963.93x = 5,913.62 × 3,642.49
  4. Step 4: Simplify right side
    3,963.93x = 21,540,268.72
  5. Step 5: Solve for x
    x = 21,540,268.72/3,963.93
  6. Step 6: Final answer
    x = 5,434.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.