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Finding the Fourth Proportional to 3,520.84, 5,282.24 and 1,442.34

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Solution

The fourth proportional to 3,520.84, 5,282.24 and 1,442.34 is: 2,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.84 : 5,282.24 = 1,442.34 : x
  2. Step 2: Convert to fraction form
    3,520.84/5,282.24 = 1,442.34/x
  3. Step 3: Cross multiply
    3,520.84x = 5,282.24 × 1,442.34
  4. Step 4: Simplify right side
    3,520.84x = 7,618,786.04
  5. Step 5: Solve for x
    x = 7,618,786.04/3,520.84
  6. Step 6: Final answer
    x = 2,163.91

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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.