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Finding the Fourth Proportional to 5,125.20, 7,689 and 1,662.45

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Solution

The fourth proportional to 5,125.20, 7,689 and 1,662.45 is: 2,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.20 : 7,689 = 1,662.45 : x
  2. Step 2: Convert to fraction form
    5,125.20/7,689 = 1,662.45/x
  3. Step 3: Cross multiply
    5,125.20x = 7,689 × 1,662.45
  4. Step 4: Simplify right side
    5,125.20x = 12,782,578.05
  5. Step 5: Solve for x
    x = 12,782,578.05/5,125.20
  6. Step 6: Final answer
    x = 2,494.06

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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.