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Finding the Fourth Proportional to 3,533.92, 5,292.67 and 3,410.90

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Solution

The fourth proportional to 3,533.92, 5,292.67 and 3,410.90 is: 5,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.92 : 5,292.67 = 3,410.90 : x
  2. Step 2: Convert to fraction form
    3,533.92/5,292.67 = 3,410.90/x
  3. Step 3: Cross multiply
    3,533.92x = 5,292.67 × 3,410.90
  4. Step 4: Simplify right side
    3,533.92x = 18,052,768.10
  5. Step 5: Solve for x
    x = 18,052,768.10/3,533.92
  6. Step 6: Final answer
    x = 5,108.43

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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.