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Finding the Fourth Proportional to 3,704.36, 5,108.17 and 2,865.20

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Solution

The fourth proportional to 3,704.36, 5,108.17 and 2,865.20 is: 3,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.36 : 5,108.17 = 2,865.20 : x
  2. Step 2: Convert to fraction form
    3,704.36/5,108.17 = 2,865.20/x
  3. Step 3: Cross multiply
    3,704.36x = 5,108.17 × 2,865.20
  4. Step 4: Simplify right side
    3,704.36x = 14,635,928.68
  5. Step 5: Solve for x
    x = 14,635,928.68/3,704.36
  6. Step 6: Final answer
    x = 3,951.00

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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.