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Finding the Fourth Proportional to 4,740.86, 6,542.96 and 2,724.27

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Solution

The fourth proportional to 4,740.86, 6,542.96 and 2,724.27 is: 3,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.86 : 6,542.96 = 2,724.27 : x
  2. Step 2: Convert to fraction form
    4,740.86/6,542.96 = 2,724.27/x
  3. Step 3: Cross multiply
    4,740.86x = 6,542.96 × 2,724.27
  4. Step 4: Simplify right side
    4,740.86x = 17,824,743.30
  5. Step 5: Solve for x
    x = 17,824,743.30/4,740.86
  6. Step 6: Final answer
    x = 3,759.82

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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.