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Finding the Fourth Proportional to 4,198.38, 6,292.41 and 1,855.86

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Solution

The fourth proportional to 4,198.38, 6,292.41 and 1,855.86 is: 2,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.38 : 6,292.41 = 1,855.86 : x
  2. Step 2: Convert to fraction form
    4,198.38/6,292.41 = 1,855.86/x
  3. Step 3: Cross multiply
    4,198.38x = 6,292.41 × 1,855.86
  4. Step 4: Simplify right side
    4,198.38x = 11,677,822.74
  5. Step 5: Solve for x
    x = 11,677,822.74/4,198.38
  6. Step 6: Final answer
    x = 2,781.51

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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.