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Finding the Fourth Proportional to 4,454.26, 6,142.79 and 3,824.57

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Solution

The fourth proportional to 4,454.26, 6,142.79 and 3,824.57 is: 5,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.26 : 6,142.79 = 3,824.57 : x
  2. Step 2: Convert to fraction form
    4,454.26/6,142.79 = 3,824.57/x
  3. Step 3: Cross multiply
    4,454.26x = 6,142.79 × 3,824.57
  4. Step 4: Simplify right side
    4,454.26x = 23,493,555.27
  5. Step 5: Solve for x
    x = 23,493,555.27/4,454.26
  6. Step 6: Final answer
    x = 5,274.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.