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Finding the Fourth Proportional to 5,402.99, 8,098.46 and 2,282.06

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Solution

The fourth proportional to 5,402.99, 8,098.46 and 2,282.06 is: 3,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.99 : 8,098.46 = 2,282.06 : x
  2. Step 2: Convert to fraction form
    5,402.99/8,098.46 = 2,282.06/x
  3. Step 3: Cross multiply
    5,402.99x = 8,098.46 × 2,282.06
  4. Step 4: Simplify right side
    5,402.99x = 18,481,119.73
  5. Step 5: Solve for x
    x = 18,481,119.73/5,402.99
  6. Step 6: Final answer
    x = 3,420.54

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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.