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Finding the Fourth Proportional to 5,200.29, 7,176.60 and 2,842.65

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Solution

The fourth proportional to 5,200.29, 7,176.60 and 2,842.65 is: 3,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.29 : 7,176.60 = 2,842.65 : x
  2. Step 2: Convert to fraction form
    5,200.29/7,176.60 = 2,842.65/x
  3. Step 3: Cross multiply
    5,200.29x = 7,176.60 × 2,842.65
  4. Step 4: Simplify right side
    5,200.29x = 20,400,561.99
  5. Step 5: Solve for x
    x = 20,400,561.99/5,200.29
  6. Step 6: Final answer
    x = 3,922.97

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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.