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Finding the Fourth Proportional to 3,847.34, 5,771.04 and 2,115.02

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Solution

The fourth proportional to 3,847.34, 5,771.04 and 2,115.02 is: 3,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.34 : 5,771.04 = 2,115.02 : x
  2. Step 2: Convert to fraction form
    3,847.34/5,771.04 = 2,115.02/x
  3. Step 3: Cross multiply
    3,847.34x = 5,771.04 × 2,115.02
  4. Step 4: Simplify right side
    3,847.34x = 12,205,865.02
  5. Step 5: Solve for x
    x = 12,205,865.02/3,847.34
  6. Step 6: Final answer
    x = 3,172.55

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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.