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Finding the Fourth Proportional to 4,015.56, 6,023.90 and 1,824.84

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Solution

The fourth proportional to 4,015.56, 6,023.90 and 1,824.84 is: 2,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015.56 : 6,023.90 = 1,824.84 : x
  2. Step 2: Convert to fraction form
    4,015.56/6,023.90 = 1,824.84/x
  3. Step 3: Cross multiply
    4,015.56x = 6,023.90 × 1,824.84
  4. Step 4: Simplify right side
    4,015.56x = 10,992,653.68
  5. Step 5: Solve for x
    x = 10,992,653.68/4,015.56
  6. Step 6: Final answer
    x = 2,737.51

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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.