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Finding the Fourth Proportional to 6,512.08, 8,986.80 and 3,679.60

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Solution

The fourth proportional to 6,512.08, 8,986.80 and 3,679.60 is: 5,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.08 : 8,986.80 = 3,679.60 : x
  2. Step 2: Convert to fraction form
    6,512.08/8,986.80 = 3,679.60/x
  3. Step 3: Cross multiply
    6,512.08x = 8,986.80 × 3,679.60
  4. Step 4: Simplify right side
    6,512.08x = 33,067,829.28
  5. Step 5: Solve for x
    x = 33,067,829.28/6,512.08
  6. Step 6: Final answer
    x = 5,077.92

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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.