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Finding the Fourth Proportional to 5,494.23, 8,249.55 and 5,412.23

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Solution

The fourth proportional to 5,494.23, 8,249.55 and 5,412.23 is: 8,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.23 : 8,249.55 = 5,412.23 : x
  2. Step 2: Convert to fraction form
    5,494.23/8,249.55 = 5,412.23/x
  3. Step 3: Cross multiply
    5,494.23x = 8,249.55 × 5,412.23
  4. Step 4: Simplify right side
    5,494.23x = 44,648,420.75
  5. Step 5: Solve for x
    x = 44,648,420.75/5,494.23
  6. Step 6: Final answer
    x = 8,126.42

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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.