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Finding the Fourth Proportional to 4,694.70, 7,039.20 and 3,232.23

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Solution

The fourth proportional to 4,694.70, 7,039.20 and 3,232.23 is: 4,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.70 : 7,039.20 = 3,232.23 : x
  2. Step 2: Convert to fraction form
    4,694.70/7,039.20 = 3,232.23/x
  3. Step 3: Cross multiply
    4,694.70x = 7,039.20 × 3,232.23
  4. Step 4: Simplify right side
    4,694.70x = 22,752,313.42
  5. Step 5: Solve for x
    x = 22,752,313.42/4,694.70
  6. Step 6: Final answer
    x = 4,846.38

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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.