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Finding the Fourth Proportional to 3,963.48, 5,469.06 and 2,284.50

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Solution

The fourth proportional to 3,963.48, 5,469.06 and 2,284.50 is: 3,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.48 : 5,469.06 = 2,284.50 : x
  2. Step 2: Convert to fraction form
    3,963.48/5,469.06 = 2,284.50/x
  3. Step 3: Cross multiply
    3,963.48x = 5,469.06 × 2,284.50
  4. Step 4: Simplify right side
    3,963.48x = 12,494,067.57
  5. Step 5: Solve for x
    x = 12,494,067.57/3,963.48
  6. Step 6: Final answer
    x = 3,152.30

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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.