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Finding the Fourth Proportional to 3,814.82, 5,725.93 and 1,841.84

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Solution

The fourth proportional to 3,814.82, 5,725.93 and 1,841.84 is: 2,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.82 : 5,725.93 = 1,841.84 : x
  2. Step 2: Convert to fraction form
    3,814.82/5,725.93 = 1,841.84/x
  3. Step 3: Cross multiply
    3,814.82x = 5,725.93 × 1,841.84
  4. Step 4: Simplify right side
    3,814.82x = 10,546,246.91
  5. Step 5: Solve for x
    x = 10,546,246.91/3,814.82
  6. Step 6: Final answer
    x = 2,764.55

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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.