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Finding the Fourth Proportional to 5,853.91, 8,777.71 and 2,563.17

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Solution

The fourth proportional to 5,853.91, 8,777.71 and 2,563.17 is: 3,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.91 : 8,777.71 = 2,563.17 : x
  2. Step 2: Convert to fraction form
    5,853.91/8,777.71 = 2,563.17/x
  3. Step 3: Cross multiply
    5,853.91x = 8,777.71 × 2,563.17
  4. Step 4: Simplify right side
    5,853.91x = 22,498,762.94
  5. Step 5: Solve for x
    x = 22,498,762.94/5,853.91
  6. Step 6: Final answer
    x = 3,843.37

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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.