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Finding the Fourth Proportional to 5,305.13, 7,951.64 and 2,527.86

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Solution

The fourth proportional to 5,305.13, 7,951.64 and 2,527.86 is: 3,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.13 : 7,951.64 = 2,527.86 : x
  2. Step 2: Convert to fraction form
    5,305.13/7,951.64 = 2,527.86/x
  3. Step 3: Cross multiply
    5,305.13x = 7,951.64 × 2,527.86
  4. Step 4: Simplify right side
    5,305.13x = 20,100,620.05
  5. Step 5: Solve for x
    x = 20,100,620.05/5,305.13
  6. Step 6: Final answer
    x = 3,788.91

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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.