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Finding the Fourth Proportional to 3,533.45, 5,293.24 and 2,049.55

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Solution

The fourth proportional to 3,533.45, 5,293.24 and 2,049.55 is: 3,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.45 : 5,293.24 = 2,049.55 : x
  2. Step 2: Convert to fraction form
    3,533.45/5,293.24 = 2,049.55/x
  3. Step 3: Cross multiply
    3,533.45x = 5,293.24 × 2,049.55
  4. Step 4: Simplify right side
    3,533.45x = 10,848,762.34
  5. Step 5: Solve for x
    x = 10,848,762.34/3,533.45
  6. Step 6: Final answer
    x = 3,070.30

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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.