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Finding the Fourth Proportional to 5,578.96, 8,369.83 and 1,683.37

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Solution

The fourth proportional to 5,578.96, 8,369.83 and 1,683.37 is: 2,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.96 : 8,369.83 = 1,683.37 : x
  2. Step 2: Convert to fraction form
    5,578.96/8,369.83 = 1,683.37/x
  3. Step 3: Cross multiply
    5,578.96x = 8,369.83 × 1,683.37
  4. Step 4: Simplify right side
    5,578.96x = 14,089,478.88
  5. Step 5: Solve for x
    x = 14,089,478.88/5,578.96
  6. Step 6: Final answer
    x = 2,525.47

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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.