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Finding the Fourth Proportional to 3,786.40, 5,674.20 and 2,630.80

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Solution

The fourth proportional to 3,786.40, 5,674.20 and 2,630.80 is: 3,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.40 : 5,674.20 = 2,630.80 : x
  2. Step 2: Convert to fraction form
    3,786.40/5,674.20 = 2,630.80/x
  3. Step 3: Cross multiply
    3,786.40x = 5,674.20 × 2,630.80
  4. Step 4: Simplify right side
    3,786.40x = 14,927,685.36
  5. Step 5: Solve for x
    x = 14,927,685.36/3,786.40
  6. Step 6: Final answer
    x = 3,942.45

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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.