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Finding the Fourth Proportional to 4,343.80, 6,515.70 and 3,809.20

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Solution

The fourth proportional to 4,343.80, 6,515.70 and 3,809.20 is: 5,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.80 : 6,515.70 = 3,809.20 : x
  2. Step 2: Convert to fraction form
    4,343.80/6,515.70 = 3,809.20/x
  3. Step 3: Cross multiply
    4,343.80x = 6,515.70 × 3,809.20
  4. Step 4: Simplify right side
    4,343.80x = 24,819,604.44
  5. Step 5: Solve for x
    x = 24,819,604.44/4,343.80
  6. Step 6: Final answer
    x = 5,713.80

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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.