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Finding the Fourth Proportional to 3,961.84, 5,469.40 and 3,700.08

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Solution

The fourth proportional to 3,961.84, 5,469.40 and 3,700.08 is: 5,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.84 : 5,469.40 = 3,700.08 : x
  2. Step 2: Convert to fraction form
    3,961.84/5,469.40 = 3,700.08/x
  3. Step 3: Cross multiply
    3,961.84x = 5,469.40 × 3,700.08
  4. Step 4: Simplify right side
    3,961.84x = 20,237,217.55
  5. Step 5: Solve for x
    x = 20,237,217.55/3,961.84
  6. Step 6: Final answer
    x = 5,108.04

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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.