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Finding the Fourth Proportional to 3,884.67, 5,796.95 and 3,469.35

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Solution

The fourth proportional to 3,884.67, 5,796.95 and 3,469.35 is: 5,177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.67 : 5,796.95 = 3,469.35 : x
  2. Step 2: Convert to fraction form
    3,884.67/5,796.95 = 3,469.35/x
  3. Step 3: Cross multiply
    3,884.67x = 5,796.95 × 3,469.35
  4. Step 4: Simplify right side
    3,884.67x = 20,111,631.14
  5. Step 5: Solve for x
    x = 20,111,631.14/3,884.67
  6. Step 6: Final answer
    x = 5,177.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.