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Finding the Fourth Proportional to 5,743.82, 8,621.13 and 2,824.22

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Solution

The fourth proportional to 5,743.82, 8,621.13 and 2,824.22 is: 4,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.82 : 8,621.13 = 2,824.22 : x
  2. Step 2: Convert to fraction form
    5,743.82/8,621.13 = 2,824.22/x
  3. Step 3: Cross multiply
    5,743.82x = 8,621.13 × 2,824.22
  4. Step 4: Simplify right side
    5,743.82x = 24,347,924.66
  5. Step 5: Solve for x
    x = 24,347,924.66/5,743.82
  6. Step 6: Final answer
    x = 4,238.98

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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.