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Finding the Fourth Proportional to 5,200.49, 7,176.67 and 2,842.65

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Solution

The fourth proportional to 5,200.49, 7,176.67 and 2,842.65 is: 3,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.49 : 7,176.67 = 2,842.65 : x
  2. Step 2: Convert to fraction form
    5,200.49/7,176.67 = 2,842.65/x
  3. Step 3: Cross multiply
    5,200.49x = 7,176.67 × 2,842.65
  4. Step 4: Simplify right side
    5,200.49x = 20,400,753.87
  5. Step 5: Solve for x
    x = 20,400,753.87/5,200.49
  6. Step 6: Final answer
    x = 3,922.85

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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.