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Finding the Fourth Proportional to 5,674.77, 8,512.97 and 1,777.86

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Solution

The fourth proportional to 5,674.77, 8,512.97 and 1,777.86 is: 2,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.77 : 8,512.97 = 1,777.86 : x
  2. Step 2: Convert to fraction form
    5,674.77/8,512.97 = 1,777.86/x
  3. Step 3: Cross multiply
    5,674.77x = 8,512.97 × 1,777.86
  4. Step 4: Simplify right side
    5,674.77x = 15,134,859.95
  5. Step 5: Solve for x
    x = 15,134,859.95/5,674.77
  6. Step 6: Final answer
    x = 2,667.04

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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.