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Finding the Fourth Proportional to 5,490.23, 8,243.55 and 5,408.22

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Solution

The fourth proportional to 5,490.23, 8,243.55 and 5,408.22 is: 8,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.23 : 8,243.55 = 5,408.22 : x
  2. Step 2: Convert to fraction form
    5,490.23/8,243.55 = 5,408.22/x
  3. Step 3: Cross multiply
    5,490.23x = 8,243.55 × 5,408.22
  4. Step 4: Simplify right side
    5,490.23x = 44,582,904.94
  5. Step 5: Solve for x
    x = 44,582,904.94/5,490.23
  6. Step 6: Final answer
    x = 8,120.41

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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.