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Finding the Fourth Proportional to 3,822.54, 5,732.36 and 1,224.06

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Solution

The fourth proportional to 3,822.54, 5,732.36 and 1,224.06 is: 1,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.54 : 5,732.36 = 1,224.06 : x
  2. Step 2: Convert to fraction form
    3,822.54/5,732.36 = 1,224.06/x
  3. Step 3: Cross multiply
    3,822.54x = 5,732.36 × 1,224.06
  4. Step 4: Simplify right side
    3,822.54x = 7,016,752.58
  5. Step 5: Solve for x
    x = 7,016,752.58/3,822.54
  6. Step 6: Final answer
    x = 1,835.63

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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.