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Finding the Fourth Proportional to 5,524.08, 8,282.40 and 1,825

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Solution

The fourth proportional to 5,524.08, 8,282.40 and 1,825 is: 2,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.08 : 8,282.40 = 1,825 : x
  2. Step 2: Convert to fraction form
    5,524.08/8,282.40 = 1,825/x
  3. Step 3: Cross multiply
    5,524.08x = 8,282.40 × 1,825
  4. Step 4: Simplify right side
    5,524.08x = 15,115,380
  5. Step 5: Solve for x
    x = 15,115,380/5,524.08
  6. Step 6: Final answer
    x = 2,736.27

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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.