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Finding the Fourth Proportional to 5,200.31, 7,176.48 and 2,842.45

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Solution

The fourth proportional to 5,200.31, 7,176.48 and 2,842.45 is: 3,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.31 : 7,176.48 = 2,842.45 : x
  2. Step 2: Convert to fraction form
    5,200.31/7,176.48 = 2,842.45/x
  3. Step 3: Cross multiply
    5,200.31x = 7,176.48 × 2,842.45
  4. Step 4: Simplify right side
    5,200.31x = 20,398,797.34
  5. Step 5: Solve for x
    x = 20,398,797.34/5,200.31
  6. Step 6: Final answer
    x = 3,922.61

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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.