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Finding the Fourth Proportional to 3,138.38, 4,707.11 and 1,905.46

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Solution

The fourth proportional to 3,138.38, 4,707.11 and 1,905.46 is: 2,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.38 : 4,707.11 = 1,905.46 : x
  2. Step 2: Convert to fraction form
    3,138.38/4,707.11 = 1,905.46/x
  3. Step 3: Cross multiply
    3,138.38x = 4,707.11 × 1,905.46
  4. Step 4: Simplify right side
    3,138.38x = 8,969,202.82
  5. Step 5: Solve for x
    x = 8,969,202.82/3,138.38
  6. Step 6: Final answer
    x = 2,857.91

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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.