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Finding the Fourth Proportional to 3,817.36, 5,715.80 and 2,171.44

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Solution

The fourth proportional to 3,817.36, 5,715.80 and 2,171.44 is: 3,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.36 : 5,715.80 = 2,171.44 : x
  2. Step 2: Convert to fraction form
    3,817.36/5,715.80 = 2,171.44/x
  3. Step 3: Cross multiply
    3,817.36x = 5,715.80 × 2,171.44
  4. Step 4: Simplify right side
    3,817.36x = 12,411,516.75
  5. Step 5: Solve for x
    x = 12,411,516.75/3,817.36
  6. Step 6: Final answer
    x = 3,251.34

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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.