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Finding the Fourth Proportional to 5,200.76, 7,797.48 and 2,601.86

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Solution

The fourth proportional to 5,200.76, 7,797.48 and 2,601.86 is: 3,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.76 : 7,797.48 = 2,601.86 : x
  2. Step 2: Convert to fraction form
    5,200.76/7,797.48 = 2,601.86/x
  3. Step 3: Cross multiply
    5,200.76x = 7,797.48 × 2,601.86
  4. Step 4: Simplify right side
    5,200.76x = 20,287,951.31
  5. Step 5: Solve for x
    x = 20,287,951.31/5,200.76
  6. Step 6: Final answer
    x = 3,900.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.