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Finding the Fourth Proportional to 6,512.20, 8,986.78 and 3,527.86

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Solution

The fourth proportional to 6,512.20, 8,986.78 and 3,527.86 is: 4,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.20 : 8,986.78 = 3,527.86 : x
  2. Step 2: Convert to fraction form
    6,512.20/8,986.78 = 3,527.86/x
  3. Step 3: Cross multiply
    6,512.20x = 8,986.78 × 3,527.86
  4. Step 4: Simplify right side
    6,512.20x = 31,704,101.69
  5. Step 5: Solve for x
    x = 31,704,101.69/6,512.20
  6. Step 6: Final answer
    x = 4,868.42

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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.