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Finding the Fourth Proportional to 5,206.50, 7,176.22 and 3,947.15

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Solution

The fourth proportional to 5,206.50, 7,176.22 and 3,947.15 is: 5,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.50 : 7,176.22 = 3,947.15 : x
  2. Step 2: Convert to fraction form
    5,206.50/7,176.22 = 3,947.15/x
  3. Step 3: Cross multiply
    5,206.50x = 7,176.22 × 3,947.15
  4. Step 4: Simplify right side
    5,206.50x = 28,325,624.85
  5. Step 5: Solve for x
    x = 28,325,624.85/5,206.50
  6. Step 6: Final answer
    x = 5,440.44

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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.