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Finding the Fourth Proportional to 4,944.28, 7,417.03 and 1,824.30

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Solution

The fourth proportional to 4,944.28, 7,417.03 and 1,824.30 is: 2,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.28 : 7,417.03 = 1,824.30 : x
  2. Step 2: Convert to fraction form
    4,944.28/7,417.03 = 1,824.30/x
  3. Step 3: Cross multiply
    4,944.28x = 7,417.03 × 1,824.30
  4. Step 4: Simplify right side
    4,944.28x = 13,530,883.27
  5. Step 5: Solve for x
    x = 13,530,883.27/4,944.28
  6. Step 6: Final answer
    x = 2,736.68

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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.