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Finding the Fourth Proportional to 3,524.67, 5,289.30 and 1,677.87

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Solution

The fourth proportional to 3,524.67, 5,289.30 and 1,677.87 is: 2,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.67 : 5,289.30 = 1,677.87 : x
  2. Step 2: Convert to fraction form
    3,524.67/5,289.30 = 1,677.87/x
  3. Step 3: Cross multiply
    3,524.67x = 5,289.30 × 1,677.87
  4. Step 4: Simplify right side
    3,524.67x = 8,874,757.79
  5. Step 5: Solve for x
    x = 8,874,757.79/3,524.67
  6. Step 6: Final answer
    x = 2,517.90

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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.