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Finding the Fourth Proportional to 3,963.84, 5,454.34 and 3,843.60

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Solution

The fourth proportional to 3,963.84, 5,454.34 and 3,843.60 is: 5,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.84 : 5,454.34 = 3,843.60 : x
  2. Step 2: Convert to fraction form
    3,963.84/5,454.34 = 3,843.60/x
  3. Step 3: Cross multiply
    3,963.84x = 5,454.34 × 3,843.60
  4. Step 4: Simplify right side
    3,963.84x = 20,964,301.22
  5. Step 5: Solve for x
    x = 20,964,301.22/3,963.84
  6. Step 6: Final answer
    x = 5,288.89

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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.