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Finding the Fourth Proportional to 3,665.07, 5,494.35 and 1,906.38

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Solution

The fourth proportional to 3,665.07, 5,494.35 and 1,906.38 is: 2,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.07 : 5,494.35 = 1,906.38 : x
  2. Step 2: Convert to fraction form
    3,665.07/5,494.35 = 1,906.38/x
  3. Step 3: Cross multiply
    3,665.07x = 5,494.35 × 1,906.38
  4. Step 4: Simplify right side
    3,665.07x = 10,474,318.95
  5. Step 5: Solve for x
    x = 10,474,318.95/3,665.07
  6. Step 6: Final answer
    x = 2,857.88

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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.