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Finding the Fourth Proportional to 3,906.17, 5,850.05 and 3,390.38

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Solution

The fourth proportional to 3,906.17, 5,850.05 and 3,390.38 is: 5,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.17 : 5,850.05 = 3,390.38 : x
  2. Step 2: Convert to fraction form
    3,906.17/5,850.05 = 3,390.38/x
  3. Step 3: Cross multiply
    3,906.17x = 5,850.05 × 3,390.38
  4. Step 4: Simplify right side
    3,906.17x = 19,833,846.32
  5. Step 5: Solve for x
    x = 19,833,846.32/3,906.17
  6. Step 6: Final answer
    x = 5,077.58

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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.