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Finding the Fourth Proportional to 6,512.09, 8,986.62 and 3,679.41

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Solution

The fourth proportional to 6,512.09, 8,986.62 and 3,679.41 is: 5,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.09 : 8,986.62 = 3,679.41 : x
  2. Step 2: Convert to fraction form
    6,512.09/8,986.62 = 3,679.41/x
  3. Step 3: Cross multiply
    6,512.09x = 8,986.62 × 3,679.41
  4. Step 4: Simplify right side
    6,512.09x = 33,065,459.49
  5. Step 5: Solve for x
    x = 33,065,459.49/6,512.09
  6. Step 6: Final answer
    x = 5,077.55

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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.