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Finding the Fourth Proportional to 3,784.33, 5,668.29 and 1,832.44

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Solution

The fourth proportional to 3,784.33, 5,668.29 and 1,832.44 is: 2,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.33 : 5,668.29 = 1,832.44 : x
  2. Step 2: Convert to fraction form
    3,784.33/5,668.29 = 1,832.44/x
  3. Step 3: Cross multiply
    3,784.33x = 5,668.29 × 1,832.44
  4. Step 4: Simplify right side
    3,784.33x = 10,386,780.29
  5. Step 5: Solve for x
    x = 10,386,780.29/3,784.33
  6. Step 6: Final answer
    x = 2,744.68

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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.