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Finding the Fourth Proportional to 3,830.44, 5,744.38 and 1,232.80

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Solution

The fourth proportional to 3,830.44, 5,744.38 and 1,232.80 is: 1,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.44 : 5,744.38 = 1,232.80 : x
  2. Step 2: Convert to fraction form
    3,830.44/5,744.38 = 1,232.80/x
  3. Step 3: Cross multiply
    3,830.44x = 5,744.38 × 1,232.80
  4. Step 4: Simplify right side
    3,830.44x = 7,081,671.66
  5. Step 5: Solve for x
    x = 7,081,671.66/3,830.44
  6. Step 6: Final answer
    x = 1,848.79

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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.