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Finding the Fourth Proportional to 5,200.08, 7,176.06 and 2,842.20

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Solution

The fourth proportional to 5,200.08, 7,176.06 and 2,842.20 is: 3,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.08 : 7,176.06 = 2,842.20 : x
  2. Step 2: Convert to fraction form
    5,200.08/7,176.06 = 2,842.20/x
  3. Step 3: Cross multiply
    5,200.08x = 7,176.06 × 2,842.20
  4. Step 4: Simplify right side
    5,200.08x = 20,395,797.73
  5. Step 5: Solve for x
    x = 20,395,797.73/5,200.08
  6. Step 6: Final answer
    x = 3,922.21

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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.