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Finding the Fourth Proportional to 5,450.40, 8,176.20 and 1,988.40

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Solution

The fourth proportional to 5,450.40, 8,176.20 and 1,988.40 is: 2,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450.40 : 8,176.20 = 1,988.40 : x
  2. Step 2: Convert to fraction form
    5,450.40/8,176.20 = 1,988.40/x
  3. Step 3: Cross multiply
    5,450.40x = 8,176.20 × 1,988.40
  4. Step 4: Simplify right side
    5,450.40x = 16,257,556.08
  5. Step 5: Solve for x
    x = 16,257,556.08/5,450.40
  6. Step 6: Final answer
    x = 2,982.82

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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.