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Finding the Fourth Proportional to 5,674.50, 8,511.84 and 2,211.84

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Solution

The fourth proportional to 5,674.50, 8,511.84 and 2,211.84 is: 3,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.50 : 8,511.84 = 2,211.84 : x
  2. Step 2: Convert to fraction form
    5,674.50/8,511.84 = 2,211.84/x
  3. Step 3: Cross multiply
    5,674.50x = 8,511.84 × 2,211.84
  4. Step 4: Simplify right side
    5,674.50x = 18,826,828.19
  5. Step 5: Solve for x
    x = 18,826,828.19/5,674.50
  6. Step 6: Final answer
    x = 3,317.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.