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Finding the Fourth Proportional to 4,713.96, 7,064.26 and 3,471.62

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Solution

The fourth proportional to 4,713.96, 7,064.26 and 3,471.62 is: 5,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.96 : 7,064.26 = 3,471.62 : x
  2. Step 2: Convert to fraction form
    4,713.96/7,064.26 = 3,471.62/x
  3. Step 3: Cross multiply
    4,713.96x = 7,064.26 × 3,471.62
  4. Step 4: Simplify right side
    4,713.96x = 24,524,426.30
  5. Step 5: Solve for x
    x = 24,524,426.30/4,713.96
  6. Step 6: Final answer
    x = 5,202.51

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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.