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Finding the Fourth Proportional to 3,233.54, 4,462.36 and 1,836.02

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Solution

The fourth proportional to 3,233.54, 4,462.36 and 1,836.02 is: 2,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.54 : 4,462.36 = 1,836.02 : x
  2. Step 2: Convert to fraction form
    3,233.54/4,462.36 = 1,836.02/x
  3. Step 3: Cross multiply
    3,233.54x = 4,462.36 × 1,836.02
  4. Step 4: Simplify right side
    3,233.54x = 8,192,982.21
  5. Step 5: Solve for x
    x = 8,192,982.21/3,233.54
  6. Step 6: Final answer
    x = 2,533.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.