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Finding the Fourth Proportional to 4,563.63, 6,843.17 and 2,371.71

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Solution

The fourth proportional to 4,563.63, 6,843.17 and 2,371.71 is: 3,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.63 : 6,843.17 = 2,371.71 : x
  2. Step 2: Convert to fraction form
    4,563.63/6,843.17 = 2,371.71/x
  3. Step 3: Cross multiply
    4,563.63x = 6,843.17 × 2,371.71
  4. Step 4: Simplify right side
    4,563.63x = 16,230,002.86
  5. Step 5: Solve for x
    x = 16,230,002.86/4,563.63
  6. Step 6: Final answer
    x = 3,556.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.