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Finding the Fourth Proportional to 5,200.74, 7,177.26 and 2,842.86

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Solution

The fourth proportional to 5,200.74, 7,177.26 and 2,842.86 is: 3,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.74 : 7,177.26 = 2,842.86 : x
  2. Step 2: Convert to fraction form
    5,200.74/7,177.26 = 2,842.86/x
  3. Step 3: Cross multiply
    5,200.74x = 7,177.26 × 2,842.86
  4. Step 4: Simplify right side
    5,200.74x = 20,403,945.36
  5. Step 5: Solve for x
    x = 20,403,945.36/5,200.74
  6. Step 6: Final answer
    x = 3,923.28

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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.