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Finding the Fourth Proportional to 5,200.70, 7,177.12 and 2,842.92

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Solution

The fourth proportional to 5,200.70, 7,177.12 and 2,842.92 is: 3,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.70 : 7,177.12 = 2,842.92 : x
  2. Step 2: Convert to fraction form
    5,200.70/7,177.12 = 2,842.92/x
  3. Step 3: Cross multiply
    5,200.70x = 7,177.12 × 2,842.92
  4. Step 4: Simplify right side
    5,200.70x = 20,403,977.99
  5. Step 5: Solve for x
    x = 20,403,977.99/5,200.70
  6. Step 6: Final answer
    x = 3,923.31

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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.