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Finding the Fourth Proportional to 5,578.68, 8,367.72 and 3,105.90

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Solution

The fourth proportional to 5,578.68, 8,367.72 and 3,105.90 is: 4,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.68 : 8,367.72 = 3,105.90 : x
  2. Step 2: Convert to fraction form
    5,578.68/8,367.72 = 3,105.90/x
  3. Step 3: Cross multiply
    5,578.68x = 8,367.72 × 3,105.90
  4. Step 4: Simplify right side
    5,578.68x = 25,989,301.55
  5. Step 5: Solve for x
    x = 25,989,301.55/5,578.68
  6. Step 6: Final answer
    x = 4,658.68

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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.