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Finding the Fourth Proportional to 4,616.48, 6,371.52 and 2,847.44

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Solution

The fourth proportional to 4,616.48, 6,371.52 and 2,847.44 is: 3,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.48 : 6,371.52 = 2,847.44 : x
  2. Step 2: Convert to fraction form
    4,616.48/6,371.52 = 2,847.44/x
  3. Step 3: Cross multiply
    4,616.48x = 6,371.52 × 2,847.44
  4. Step 4: Simplify right side
    4,616.48x = 18,142,520.91
  5. Step 5: Solve for x
    x = 18,142,520.91/4,616.48
  6. Step 6: Final answer
    x = 3,929.95

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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.