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Finding the Fourth Proportional to 3,533.61, 5,311.35 and 2,243.28

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Solution

The fourth proportional to 3,533.61, 5,311.35 and 2,243.28 is: 3,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.61 : 5,311.35 = 2,243.28 : x
  2. Step 2: Convert to fraction form
    3,533.61/5,311.35 = 2,243.28/x
  3. Step 3: Cross multiply
    3,533.61x = 5,311.35 × 2,243.28
  4. Step 4: Simplify right side
    3,533.61x = 11,914,845.23
  5. Step 5: Solve for x
    x = 11,914,845.23/3,533.61
  6. Step 6: Final answer
    x = 3,371.86

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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.