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Finding the Fourth Proportional to 4,758.38, 7,138.26 and 1,471.73

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Solution

The fourth proportional to 4,758.38, 7,138.26 and 1,471.73 is: 2,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.38 : 7,138.26 = 1,471.73 : x
  2. Step 2: Convert to fraction form
    4,758.38/7,138.26 = 1,471.73/x
  3. Step 3: Cross multiply
    4,758.38x = 7,138.26 × 1,471.73
  4. Step 4: Simplify right side
    4,758.38x = 10,505,587.71
  5. Step 5: Solve for x
    x = 10,505,587.71/4,758.38
  6. Step 6: Final answer
    x = 2,207.81

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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.