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Finding the Fourth Proportional to 4,127.36, 6,213.20 and 3,704

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Solution

The fourth proportional to 4,127.36, 6,213.20 and 3,704 is: 5,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.36 : 6,213.20 = 3,704 : x
  2. Step 2: Convert to fraction form
    4,127.36/6,213.20 = 3,704/x
  3. Step 3: Cross multiply
    4,127.36x = 6,213.20 × 3,704
  4. Step 4: Simplify right side
    4,127.36x = 23,013,692.80
  5. Step 5: Solve for x
    x = 23,013,692.80/4,127.36
  6. Step 6: Final answer
    x = 5,575.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.