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Finding the Fourth Proportional to 5,674.20, 8,511.30 and 5,155.80

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Solution

The fourth proportional to 5,674.20, 8,511.30 and 5,155.80 is: 7,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.20 : 8,511.30 = 5,155.80 : x
  2. Step 2: Convert to fraction form
    5,674.20/8,511.30 = 5,155.80/x
  3. Step 3: Cross multiply
    5,674.20x = 8,511.30 × 5,155.80
  4. Step 4: Simplify right side
    5,674.20x = 43,882,560.54
  5. Step 5: Solve for x
    x = 43,882,560.54/5,674.20
  6. Step 6: Final answer
    x = 7,733.70

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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.