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Finding the Fourth Proportional to 4,203.92, 6,306.80 and 1,282.14

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Solution

The fourth proportional to 4,203.92, 6,306.80 and 1,282.14 is: 1,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.92 : 6,306.80 = 1,282.14 : x
  2. Step 2: Convert to fraction form
    4,203.92/6,306.80 = 1,282.14/x
  3. Step 3: Cross multiply
    4,203.92x = 6,306.80 × 1,282.14
  4. Step 4: Simplify right side
    4,203.92x = 8,086,194.14
  5. Step 5: Solve for x
    x = 8,086,194.14/4,203.92
  6. Step 6: Final answer
    x = 1,923.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.