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Finding the Fourth Proportional to 4,540.57, 6,263.73 and 3,942.25

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Solution

The fourth proportional to 4,540.57, 6,263.73 and 3,942.25 is: 5,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.57 : 6,263.73 = 3,942.25 : x
  2. Step 2: Convert to fraction form
    4,540.57/6,263.73 = 3,942.25/x
  3. Step 3: Cross multiply
    4,540.57x = 6,263.73 × 3,942.25
  4. Step 4: Simplify right side
    4,540.57x = 24,693,189.59
  5. Step 5: Solve for x
    x = 24,693,189.59/4,540.57
  6. Step 6: Final answer
    x = 5,438.35

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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.