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Finding the Fourth Proportional to 5,743.60, 8,616.21 and 2,822.02

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Solution

The fourth proportional to 5,743.60, 8,616.21 and 2,822.02 is: 4,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.60 : 8,616.21 = 2,822.02 : x
  2. Step 2: Convert to fraction form
    5,743.60/8,616.21 = 2,822.02/x
  3. Step 3: Cross multiply
    5,743.60x = 8,616.21 × 2,822.02
  4. Step 4: Simplify right side
    5,743.60x = 24,315,116.94
  5. Step 5: Solve for x
    x = 24,315,116.94/5,743.60
  6. Step 6: Final answer
    x = 4,233.43

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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.