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Finding the Fourth Proportional to 4,230.46, 5,832.44 and 3,471.46

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Solution

The fourth proportional to 4,230.46, 5,832.44 and 3,471.46 is: 4,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.46 : 5,832.44 = 3,471.46 : x
  2. Step 2: Convert to fraction form
    4,230.46/5,832.44 = 3,471.46/x
  3. Step 3: Cross multiply
    4,230.46x = 5,832.44 × 3,471.46
  4. Step 4: Simplify right side
    4,230.46x = 20,247,035.64
  5. Step 5: Solve for x
    x = 20,247,035.64/4,230.46
  6. Step 6: Final answer
    x = 4,786.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.