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Finding the Fourth Proportional to 4,203.69, 6,306.46 and 1,282.22

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Solution

The fourth proportional to 4,203.69, 6,306.46 and 1,282.22 is: 1,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.69 : 6,306.46 = 1,282.22 : x
  2. Step 2: Convert to fraction form
    4,203.69/6,306.46 = 1,282.22/x
  3. Step 3: Cross multiply
    4,203.69x = 6,306.46 × 1,282.22
  4. Step 4: Simplify right side
    4,203.69x = 8,086,269.14
  5. Step 5: Solve for x
    x = 8,086,269.14/4,203.69
  6. Step 6: Final answer
    x = 1,923.61

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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.