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Finding the Fourth Proportional to 3,512.56, 5,269.80 and 1,204.24

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Solution

The fourth proportional to 3,512.56, 5,269.80 and 1,204.24 is: 1,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.56 : 5,269.80 = 1,204.24 : x
  2. Step 2: Convert to fraction form
    3,512.56/5,269.80 = 1,204.24/x
  3. Step 3: Cross multiply
    3,512.56x = 5,269.80 × 1,204.24
  4. Step 4: Simplify right side
    3,512.56x = 6,346,103.95
  5. Step 5: Solve for x
    x = 6,346,103.95/3,512.56
  6. Step 6: Final answer
    x = 1,806.69

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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.