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Finding the Fourth Proportional to 5,584.71, 7,706.35 and 3,226.80

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Solution

The fourth proportional to 5,584.71, 7,706.35 and 3,226.80 is: 4,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.71 : 7,706.35 = 3,226.80 : x
  2. Step 2: Convert to fraction form
    5,584.71/7,706.35 = 3,226.80/x
  3. Step 3: Cross multiply
    5,584.71x = 7,706.35 × 3,226.80
  4. Step 4: Simplify right side
    5,584.71x = 24,866,850.18
  5. Step 5: Solve for x
    x = 24,866,850.18/5,584.71
  6. Step 6: Final answer
    x = 4,452.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.