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Finding the Fourth Proportional to 5,106.80, 7,660.20 and 2,190.80

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Solution

The fourth proportional to 5,106.80, 7,660.20 and 2,190.80 is: 3,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.80 : 7,660.20 = 2,190.80 : x
  2. Step 2: Convert to fraction form
    5,106.80/7,660.20 = 2,190.80/x
  3. Step 3: Cross multiply
    5,106.80x = 7,660.20 × 2,190.80
  4. Step 4: Simplify right side
    5,106.80x = 16,781,966.16
  5. Step 5: Solve for x
    x = 16,781,966.16/5,106.80
  6. Step 6: Final answer
    x = 3,286.20

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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.