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Finding the Fourth Proportional to 3,184.80, 4,388.22 and 2,893.20

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Solution

The fourth proportional to 3,184.80, 4,388.22 and 2,893.20 is: 3,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.80 : 4,388.22 = 2,893.20 : x
  2. Step 2: Convert to fraction form
    3,184.80/4,388.22 = 2,893.20/x
  3. Step 3: Cross multiply
    3,184.80x = 4,388.22 × 2,893.20
  4. Step 4: Simplify right side
    3,184.80x = 12,695,998.10
  5. Step 5: Solve for x
    x = 12,695,998.10/3,184.80
  6. Step 6: Final answer
    x = 3,986.43

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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.