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Finding the Fourth Proportional to 4,282.46, 6,423.82 and 1,162.46

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Solution

The fourth proportional to 4,282.46, 6,423.82 and 1,162.46 is: 1,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.46 : 6,423.82 = 1,162.46 : x
  2. Step 2: Convert to fraction form
    4,282.46/6,423.82 = 1,162.46/x
  3. Step 3: Cross multiply
    4,282.46x = 6,423.82 × 1,162.46
  4. Step 4: Simplify right side
    4,282.46x = 7,467,433.80
  5. Step 5: Solve for x
    x = 7,467,433.80/4,282.46
  6. Step 6: Final answer
    x = 1,743.73

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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.