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Finding the Fourth Proportional to 5,200.75, 7,177.13 and 2,842.84

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Solution

The fourth proportional to 5,200.75, 7,177.13 and 2,842.84 is: 3,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.75 : 7,177.13 = 2,842.84 : x
  2. Step 2: Convert to fraction form
    5,200.75/7,177.13 = 2,842.84/x
  3. Step 3: Cross multiply
    5,200.75x = 7,177.13 × 2,842.84
  4. Step 4: Simplify right side
    5,200.75x = 20,403,382.15
  5. Step 5: Solve for x
    x = 20,403,382.15/5,200.75
  6. Step 6: Final answer
    x = 3,923.17

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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.