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Finding the Fourth Proportional to 4,165.35, 6,241.86 and 1,823.19

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Solution

The fourth proportional to 4,165.35, 6,241.86 and 1,823.19 is: 2,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.35 : 6,241.86 = 1,823.19 : x
  2. Step 2: Convert to fraction form
    4,165.35/6,241.86 = 1,823.19/x
  3. Step 3: Cross multiply
    4,165.35x = 6,241.86 × 1,823.19
  4. Step 4: Simplify right side
    4,165.35x = 11,380,096.73
  5. Step 5: Solve for x
    x = 11,380,096.73/4,165.35
  6. Step 6: Final answer
    x = 2,732.09

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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.