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Finding the Fourth Proportional to 5,523.40, 8,282.90 and 1,824.60

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Solution

The fourth proportional to 5,523.40, 8,282.90 and 1,824.60 is: 2,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.40 : 8,282.90 = 1,824.60 : x
  2. Step 2: Convert to fraction form
    5,523.40/8,282.90 = 1,824.60/x
  3. Step 3: Cross multiply
    5,523.40x = 8,282.90 × 1,824.60
  4. Step 4: Simplify right side
    5,523.40x = 15,112,979.34
  5. Step 5: Solve for x
    x = 15,112,979.34/5,523.40
  6. Step 6: Final answer
    x = 2,736.17

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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.