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Finding the Fourth Proportional to 3,535.92, 4,882.44 and 3,162.24

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Solution

The fourth proportional to 3,535.92, 4,882.44 and 3,162.24 is: 4,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.92 : 4,882.44 = 3,162.24 : x
  2. Step 2: Convert to fraction form
    3,535.92/4,882.44 = 3,162.24/x
  3. Step 3: Cross multiply
    3,535.92x = 4,882.44 × 3,162.24
  4. Step 4: Simplify right side
    3,535.92x = 15,439,447.07
  5. Step 5: Solve for x
    x = 15,439,447.07/3,535.92
  6. Step 6: Final answer
    x = 4,366.46

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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.