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Finding the Fourth Proportional to 5,540.68, 7,647.26 and 3,184.44

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Solution

The fourth proportional to 5,540.68, 7,647.26 and 3,184.44 is: 4,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.68 : 7,647.26 = 3,184.44 : x
  2. Step 2: Convert to fraction form
    5,540.68/7,647.26 = 3,184.44/x
  3. Step 3: Cross multiply
    5,540.68x = 7,647.26 × 3,184.44
  4. Step 4: Simplify right side
    5,540.68x = 24,352,240.63
  5. Step 5: Solve for x
    x = 24,352,240.63/5,540.68
  6. Step 6: Final answer
    x = 4,395.17

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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.