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Finding the Fourth Proportional to 3,392.38, 5,086.86 and 1,200.80

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Solution

The fourth proportional to 3,392.38, 5,086.86 and 1,200.80 is: 1,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.38 : 5,086.86 = 1,200.80 : x
  2. Step 2: Convert to fraction form
    3,392.38/5,086.86 = 1,200.80/x
  3. Step 3: Cross multiply
    3,392.38x = 5,086.86 × 1,200.80
  4. Step 4: Simplify right side
    3,392.38x = 6,108,301.49
  5. Step 5: Solve for x
    x = 6,108,301.49/3,392.38
  6. Step 6: Final answer
    x = 1,800.59

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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.