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Finding the Fourth Proportional to 5,839.68, 8,752.96 and 3,842.24

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Solution

The fourth proportional to 5,839.68, 8,752.96 and 3,842.24 is: 5,759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.68 : 8,752.96 = 3,842.24 : x
  2. Step 2: Convert to fraction form
    5,839.68/8,752.96 = 3,842.24/x
  3. Step 3: Cross multiply
    5,839.68x = 8,752.96 × 3,842.24
  4. Step 4: Simplify right side
    5,839.68x = 33,630,973.03
  5. Step 5: Solve for x
    x = 33,630,973.03/5,839.68
  6. Step 6: Final answer
    x = 5,759.04

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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.