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Finding the Fourth Proportional to 3,512.52, 5,266.80 and 3,102.48

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Solution

The fourth proportional to 3,512.52, 5,266.80 and 3,102.48 is: 4,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.52 : 5,266.80 = 3,102.48 : x
  2. Step 2: Convert to fraction form
    3,512.52/5,266.80 = 3,102.48/x
  3. Step 3: Cross multiply
    3,512.52x = 5,266.80 × 3,102.48
  4. Step 4: Simplify right side
    3,512.52x = 16,340,141.66
  5. Step 5: Solve for x
    x = 16,340,141.66/3,512.52
  6. Step 6: Final answer
    x = 4,651.97

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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.