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Finding the Fourth Proportional to 4,471.73, 6,707.65 and 1,351.76

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Solution

The fourth proportional to 4,471.73, 6,707.65 and 1,351.76 is: 2,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.73 : 6,707.65 = 1,351.76 : x
  2. Step 2: Convert to fraction form
    4,471.73/6,707.65 = 1,351.76/x
  3. Step 3: Cross multiply
    4,471.73x = 6,707.65 × 1,351.76
  4. Step 4: Simplify right side
    4,471.73x = 9,067,096.05
  5. Step 5: Solve for x
    x = 9,067,096.05/4,471.73
  6. Step 6: Final answer
    x = 2,027.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.