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Finding the Fourth Proportional to 3,829.44, 5,744.16 and 1,232.58

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Solution

The fourth proportional to 3,829.44, 5,744.16 and 1,232.58 is: 1,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.44 : 5,744.16 = 1,232.58 : x
  2. Step 2: Convert to fraction form
    3,829.44/5,744.16 = 1,232.58/x
  3. Step 3: Cross multiply
    3,829.44x = 5,744.16 × 1,232.58
  4. Step 4: Simplify right side
    3,829.44x = 7,080,136.73
  5. Step 5: Solve for x
    x = 7,080,136.73/3,829.44
  6. Step 6: Final answer
    x = 1,848.87

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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.